Q:

What is 16 to the Power of 75?

Accepted Solution

A:
Solution: 16 to the Power of 75 is equal to 2.037035976334486e+90 Methods Step-by-step: finding 16 to the power of 75 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: 1 6 75 16^{75} 1 6 75 To simplify this, all that is needed is to multiply it out: 16 x 16 x 16 x 16 x ... (for a total of 75 times) = 2.037035976334486e+90 Therefore, 16 to the power of 75 is 2.037035976334486e+90. Related exponent problems: Here some other problems that you can read and practice with! What is 5 to the Power of 13? What is 6 to the Power of 22? What is 27 to the Power of 8? What is 9 to the Power of 25? What is 2 to the Power of 18?