Question

Simplify (-243)^-3/5

Answer 1

The expression, $(-243)^{-3/5}$ on simplification using the laws of the exponent can be written as - (1/27).

Exponents are of the form aˣ, read as " a to the power x", function as a multiplied by itself x number of times, and are used in a numerical and algebraic expression.

To simplify these expressions, we use the following laws of the exponents:

$1. a^m.a^n = a^{m + n}\\2.\frac{a^m}{a^n} = a^{m-n}\\ 3. (a^m)^n = a^{mn}\\4. a^{-m} = \frac{1}{a^m}\\5. a^0 = 1$

In the question, we are asked to simplify the expression, $(-243)^{-3/5}$.

The expression can be solved using the laws of exponent as follows:

$(-243)^{-3/5}$

= $((-3)^5)^{-3/5}$

= $(-3)^{-3}$ {Using the law of exponent: $(a^m)^n = a^{mn}$}

= $\frac{1}{-3^3}$ {Using the law of exponent: $a^{-m} = \frac{1}{a^m}$}

= 1/(-27)

= - (1/27).

Thus, the expression, $(-243)^{-3/5}$ on simplification using the laws of exponent can be written as - (1/27).

Learn more about laws of exponents at

brainly.com/question/8244767

#SPJ1