"Whenever you raise one exponent to another exponent you can multiply."
"So this is 3 to the fourth power, which is 81."
"I'm going to focus it on the parent function... rewrite this in exponential form by exponentiating... now I can say hmm one third to the Y power equals X."
"It's 10 seconds to the power of 4 then 10 seconds to the power of 3 then 10 seconds to the power of 2."
"Each of those will behave differently when they're raised to different powers."
"Whenever you have a number that is squared, you're basically going to multiply that base number by itself twice."
"Anything to the power of zero is equal to one."
"What do we have to multiply 2 to the 6 by to get back to the original 2 to the 8? This is really important."
"Anything to the power of zero is one."
"Anything to the power of one is itself."
"Any number raised to the power 0 equals to 1."
"Any number raised to the power of one just gives you that number."
"789 or any number for that matter raised to the zero power is going to give you one."
"If we raise alpha to the power of 1988 and then take its floor, that number is divisible by 17."
"Any number to the power negative is the same as 1 over the number to the power positive."
"When you have x to the power half, this is the same as the square root of x."
"Any number to the power zero is one."
"When you've got a power to another power, you times the powers."
"Any number to the power of zero is just one."
"If you have the square root of x, that is exactly the same thing as x to the one-half power."
"Anytime you see, for instance, the cube root of x, it's exactly the same thing as x to the 1/3 power."
"Anything to the power of 0 is just going to be 1."
"Any number to the power of zero is one."
"Any number raised to the zero power equals 1."
"A to the 'm' times 'a' to the 'n' equals 'a' to the 'm' plus 'n'."
"What I will do is use this shorthand: I will say I'm going to take 2 and I want to multiply it 10 times, so I'll write 2 to the 10th."
"What power do I need to raise 2 to, to get x?"
"Anything to the power zero is 1; anything to the power one is itself."
"So I need to raise this to the number of times I'm doing it, which in this case it's the number of years."
"Any number raised to the zero power is one."
"Two to the fifth power is thirty-two."
"When you're multiplying powers that have the same base, that's equal to the base raised to the sum of the exponents."
"Remember that we can write a 2 as a square rooted 2 as 2 to the 1/2."
"Anything to the power of zero is always one."
"The most important word here is 'cubed'. What does cubed mean? So 'cubed' means you're going to do five to the third power because you're cubing it."
"Whenever we multiply two things with the same base we add their exponents."
"If I exponentiate both sides, I get y equals e to the integral multiplied by e to a constant."
"What does 5 to the 3 actually mean? It doesn't mean 5 times 3. It's 125 because you're doing 5 times 5 times 5."
"A to the negative N is equal to 1 over A to the N."
"The solution can be written as e to the power minus R."
"Any number to the zero power is equal to one."
"If two matrices A and B commute, it turns out that e to the power of A plus B is the same as e to the power of A times e to the power of B."
"What do I need to raise 10 to the power of to get 10 to the power of 2? Clearly, the answer is 2."
"Y to the seventh times y cubed is y to the tenth."
"A number raised to the power of 0 is equal to one; that is the law of indices."
"Any number to the exponent zero is equal to one."
"Anything to the exponent 0 is 1, so \( f(x) = a \) where \( a \) is a constant."
"3 to the power of 2 means 3 times 3."
"To exponentiate, you're going to use this caret operator rather than the double star used in Python."
"If you think about 10 to the power positive 2, that's 10 times 10, which is 100."
"Anything to a zero power equals the number one."
"The exponent is a power of two that says how big this number is."
"Anything to the power of zero is not zero, but it is one."
"If you multiply a reaction's coefficients by a certain number \( n \), then the new constant will be the old constant raised to that power \( n \)."
"A to the power of M multiplied by A to the power of N is equal to A to the power of M plus N."
"A to the power of M divided by A to the power of N is A to the power of M minus N."
"A to the power of zero gives us 1."
"A to the power of minus M is equal to one over A to the power of positive M."
"Anything to the zero power is going to give us 1."
"Anything raised to the power 0 is 1."
"What number can you multiply by itself four times to get you 256?"
"Any base raised to zero is equal to one."
"Anything to the power of zero equals one."
"When you have something raised to an exponent raised to another exponent, you multiply their exponents."