Consider the given expression, #10; #10; #10; #10; #160; ⇒ #10;( 3 )^4×( 53)^4 #10; #10; #160; ∵ #10; x= 1× x #10; #10; ...

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Exponents with Like Bases

Simplify: -...

Question

Simplify:
${(- 3)}^{4} \times {(\frac{5}{3})}^{4}$

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Solution

Consider the given expression,

$\Rightarrow {(- 3)}^{4} \times {(\frac{5}{3})}^{4}$

$\Rightarrow {(- 3)}^{4} \times {(\frac{5}{3})}^{4} = (-)^{4} 3^{4} \times \frac{5^{4}}{3^{4}} = {(- 1)}^{4} \frac{5^{4}}{1}$
$∵ {(- 1)}^{4} = 1$
$\Rightarrow {(- 1)}^{4} \frac{5^{4}}{1} = \frac{5^{4}}{1} = 5^{4}$
Hence, this is the answer .

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Similar questions

\frac{- 3}{4} \times \frac{- 3}{4}

3 \frac{4}{7} \times 2 \frac{2}{5} \times 1 \frac{3}{4}

Simplify and express the result in power notation with positive exponent.

(- 3)^{4} \times {(\frac{5}{3})}^{4}

(m)^{4}

m = ?

\frac{(5^{- 3})^{2} \times 3^{4}}{(3^{- 2})^{- 3} \times (5^{3})^{- 2}}

Simplify the following :
$[{(\frac{- 3}{4})}^{3} - {(\frac{- 5}{2})}^{3}] \times {(- \frac{2}{3})}^{4}$ .

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