Q:

What is 42 to the Power of 65?

Accepted Solution

A:
Solution: 42 to the Power of 65 is equal to 3.24491911577492e+105 Methods Step-by-step: finding 42 to the power of 65 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 2 65 42^{65} 4 2 65 To simplify this, all that is needed is to multiply it out: 42 x 42 x 42 x 42 x ... (for a total of 65 times) = 3.24491911577492e+105 Therefore, 42 to the power of 65 is 3.24491911577492e+105. Related exponent problems: Here some other problems that you can read and practice with! What is 7 to the Power of 8? What is 6 to the Power of 35? What is 22 to the Power of 29? What is 55 to the Power of 10? What is 3 to the Power of 2?