Question

simplify 2^4 x 2^3 / 2^5 x 2^4 leaving your answer in index form

Answer 1

Answer:

$128$

$2 {}^{4} \times ( \frac{1}{2 {}^{2} } ) \times 2 {}^{5} = 128 \\2 {}^{9} \times ( \frac{1}{2 {}^{2} } ) \\ 512 \times ( \frac{1}{4} ) \\ \frac{512}{4} \\ 128$

Answer 2

The simplified value of the given exponential expression is  $\frac{1}{2^{2} }$.

What is the exponential expression?

"Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor."

The given expression is:

$(2^{4})(2^{3})/(2^{5})(2^{4} )\\= 2^{4+3}/2^{5+4}\\= 2^{7}/2^{9} \\= 2^{7-9}\\= 2^{-2} \\= \frac{1}{2^{2}}$

Learn more about exponential expression here: https://brainly.com/question/1529431

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