Simplify the exponential expression and express answer with positive exponents.

$\frac{{5}^{-2}x{y}^{6}}{3{x}^{4}{y}^{-2}}$

OlmekinjP
2021-09-13
Answered

Simplify the exponential expression and express answer with positive exponents.

$\frac{{5}^{-2}x{y}^{6}}{3{x}^{4}{y}^{-2}}$

You can still ask an expert for help

escumantsu

Answered 2021-09-14
Author has **98** answers

Given:

$\frac{{5}^{-2}x{y}^{6}}{3{x}^{4}{y}^{-2}}$

Solution:

$\frac{{5}^{-2}x{y}^{6}}{3{x}^{4}{y}^{-2}}$

First simplify,

$\frac{{y}^{6}}{{y}^{-2}}$

$={y}^{8}$

Now simplify.

$\frac{x}{{x}^{4}}=\frac{1}{{x}^{3}}$

And now simplify

$5}^{-2}=\frac{1}{{5}^{2}$

Then, finally substitute the simplify values in given function.

$=\frac{{y}^{8}}{75{x}^{3}}$

Solution:

First simplify,

Now simplify.

And now simplify

Then, finally substitute the simplify values in given function.

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