Q:

What is 30 to the Power of 86?

Accepted Solution

A:
Solution: 30 to the Power of 86 is equal to 1.0775263664305818e+127 Methods Step-by-step: finding 30 to the power of 86 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: 3 0 86 30^{86} 3 0 86 To simplify this, all that is needed is to multiply it out: 30 x 30 x 30 x 30 x ... (for a total of 86 times) = 1.0775263664305818e+127 Therefore, 30 to the power of 86 is 1.0775263664305818e+127. Related exponent problems: Here some other problems that you can read and practice with! What is 21 to the Power of 63? What is 2 to the Power of 95? What is 17 to the Power of 29? What is 20 to the Power of 19? What is 3 to the Power of 48?