Question

Simplify the exponents :
{( - 4/3)^-2}^2
(Please explain with steps , laws and calculations )

Answer 1

Answer:

Question:

Rewrite and simplify the expression using the Law of Exponents:

4

−

3

2

−

8

Rules of Exponent:

To solve the given problem we need to know some law of exponents such as:

i) The power rule of exponent:

(

a

x

)

y

=

a

x

y

ii) Negative exponent:

a

−

x

=

1

a

x

iii) Division rule:

a

x

a

y

=

a

x

−

y

Using these rules of exponent we will simplify the given expression.

Answer and Explanation: 1

Given:

4

−

3

2

−

8

We have to simplify the given expression.

$$\begin{align} &\dfrac{4^{-3}}{2^{-8}}\\[.3...

See full answer below.