Compute the absolute value of- -54 - -56 - -59

Given that: ( 5 )^4×( 5 )^6÷( 5 )^9 ∵ a^m× a^n=a^m+n so ⇒( 5 )^10÷( 5 )^9 ∵ a^m÷ a^n=a^m n so ⇒( 5 )^10 9 ⇒ 5 ∴ The absolut ...

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Standard IX

Mathematics

Laws of Exponents for Real Numbers

Compute the a...

Question

Compute the absolute value of:
$(- 5)^{4} \times (- 5)^{6} \div (- 5)^{9}$

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Solution

Given that: ${(- 5)}^{4} \times {(- 5)}^{6} \div {(- 5)}^{9}$
$∵ a^{m} \times a^{n} = a^{m + n}$
so $\Rightarrow {(- 5)}^{10} \div {(- 5)}^{9}$
$∵ a^{m} \div a^{n} = a^{m - n}$
so $\Rightarrow {(- 5)}^{10 - 9}$
$\Rightarrow - 5$
$∴$ The absolute value is $5$

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Compute the absolute value of: (−5)4×(−5)6÷(−5)9

Given that: (−5)4×(−5)6÷(−5)9∵am×an=am+nso⇒(−5)10÷(−5)9∵am÷an=am−nso ⇒(−5)10−9⇒−5∴ The absolute value is 5

Compute the absolute value of:
$(- 5)^{4} \times (- 5)^{6} \div (- 5)^{9}$

Given that: ${(- 5)}^{4} \times {(- 5)}^{6} \div {(- 5)}^{9}$
$∵ a^{m} \times a^{n} = a^{m + n}$
so $\Rightarrow {(- 5)}^{10} \div {(- 5)}^{9}$
$∵ a^{m} \div a^{n} = a^{m - n}$
so $\Rightarrow {(- 5)}^{10 - 9}$
$\Rightarrow - 5$
$∴$ The absolute value is $5$