Question

A number to the 10 power divided by the same number to the 7th power equals 125 what is the number?

Answer 1

The number is 5. All you have to do is make an equation based on the information you have, x will represent the missing number so, x to the power of 10 divided by x to the power of 7 is equal to 125, then solve.

Answer 2

Answer:

The number is 5

Step-by-step explanation:

Let the number be x

• A number to the 10th power $=$ $x^{10}$

• A number to the 7th power $= x^{7}$

Divided $x^{10}$ by $x^{7}$ equals to 125

$\frac{x^{10} }{x^{7} } =$ 125

Dividing exponential expressions

$x^{10}$ divided by $x^{7}$ $=$ $x^{(10-7)} = x^{3}$

$x^{3} =$ $125$

Cube root on both the side

$\sqrt[3]{x^{3} } = \sqrt[3]{125}$

x $=$ 5