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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
Simplify : $(-5)^5\times(15)^{-9}$
  • ✓
    $\frac{1}{(5)^4}$
  • B
    $\frac{1}{(5)^{-1}}$
  • C
    $(-5)^4$
  • D
    $(-5)^{-4}$
✓

Answer

Correct option: A.
$\frac{1}{(5)^4}$
$(-5)^5\times(15)^{-9} = (-5)^{(5+(-9))}$ $(\text{a}^\text{m}\times\text{a}^\text{n}=\text{a}^{\text{m+n}})$
$= (-5)^{(5-9)}=(-5)^{-4}$
$=\frac{1}{(5)^4}$ $\Big(\text{a}^{-\text{m}}=\frac{1}{\text{a}^\text{m}}\Big)$

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