Q:

What is 30 to the Power of 75?

Accepted Solution

A:
Solution: 30 to the Power of 75 is equal to 6.082667877133577e+110 Methods Step-by-step: finding 30 to the power of 75 The first step is to understand what it means when a number has an exponent. The “power” 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 ⋅ 2 ⋅ 2 ⋅ 2 2\cdot2\cdot2\cdot2 2 ⋅ 2 ⋅ 2 ⋅ 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 75 30^{75} 3 0 75 To simplify this, all that is needed is to multiply it out: 30 x 30 x 30 x 30 x ... (for a total of 75 times) = 6.082667877133577e+110 Therefore, 30 to the power of 75 is 6.082667877133577e+110. Related exponent problems: Here some other problems that you can read and practice with! What is 1 to the Power of 8? What is 36 to the Power of 16? What is 25 to the Power of 13? What is 49 to the Power of 50? What is 2 to the Power of 86?