Q:

What is 45 to the Power of 15?

Accepted Solution

A:
Solution: 45 to the Power of 15 is equal to 6.283298708943146e+24 Methods Step-by-step: finding 45 to the power of 15 The first step is to understand what it means when a number has an exponent. The β€œpower” of a number indicates how many times the base would be multiplied by itself to reach the correct value. The second step is to write the number in the base-exponent form, and lastly calculate what the final result would be. Consider the example of 2 to the power of 4: in exponent form that would be 2 4 2^4 2 4 . To solve this, we need to multiply the base, 2 by itself, 4 times - 2 β‹… 2 β‹… 2 β‹… 2 2\cdot2\cdot2\cdot2 2 β‹… 2 β‹… 2 β‹… 2 = 16. So 2 4 = 16 2^4 = 16 2 4 = 16 . So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of: 4 5 15 45^{15} 4 5 15 To simplify this, all that is needed is to multiply it out: 45 x 45 x 45 x 45 x ... (for a total of 15 times) = 6.283298708943146e+24 Therefore, 45 to the power of 15 is 6.283298708943146e+24. Related exponent problems: Here some other problems that you can read and practice with! What is 19 to the Power of 72? What is 12 to the Power of 78? What is 18 to the Power of 87? What is 4 to the Power of 28? What is 90 to the Power of 7?