2 Answers

Sahil Purav · Answer 1 · 2023-02-12T00:25:48+0000

0 (zero)

Explanation:

${ \blue{ \sf{ {5}^( - 3) * {2}^(4) * {5}^(3) * {2}^( - 5)}}}$

Arrange the like terms in order

${ \blue{ \sf{ {5}^( - 3) * {5}^(3) * {2}^(4) * {2}^( - 5)}}}$

This is in the form of
${ \red{ \sf{ {a}^(m) * {a}^(n) = {a}^(m + n)}}}$

${ \blue{ \sf{ {5}^( - 3 + 3) * {2}^(4 + ( - 5))}}}$

${ \blue{ \sf{ {5}^(0) * {2}^(4 - 5)}}}$

${ \blue{ \sf{0 * {2}^( - 1)}}}$

${ = \blue{ \sf{0}}}$

Any number which is multiplied with zero is zero itself.

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