Question

(10x^2)^-3
Simplify the exponential equation

Answer 1

= 10x⁻⁶

Explanation:

2*-3 = -6

then:

`10x^{2^(-3)} = 10x^(-6)`

= 10x⁻⁶

Answer 2

Simplifying an exponential equation can be done by using different laws of exponents.

In this case, we can use the power rule and negative exponent rule

Power rule:

`(a^x)^y=a^x^y`

Negative exponent rule:

`a^-^y=(1)/(a^y)`

1. Use the negative exponent rule

`(10x^2)^-^3=(1)/((10x^2)^3)`

2. Use the power rule and simplify

• -3 has to be applied to 10 and x^2

`10^3=1000` and
`(x^2)^3=x^6`

∴
`(1)/(1000x^6)`