What is 35 to the Power of 7? | Thinkster Math (2024)

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$24

. To solve this, we need to multiply the base, 2 by itself, 4 times -

$2\cdot2\cdot2\cdot2$2⋅2⋅2⋅2

= 16. So

$2^4 = 16$24=16

.

So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:

$35^{7}$357

To simplify this, all that is needed is to multiply it out:

35 x 35 x 35 x 35 x 35 x 35 x 35 = 64339296875

Therefore, 35 to the power of 7 is 64339296875.