Find the value of x- if 8x-89-815-

The correct option is B 24By the Laws of Exponents, we know that nbsp; a^m/a^n=a^m n Given nbsp;8^x/ 8^9=8^15 8^x 9=8^15 Since, the bases are same so equa ...

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Byju's Answer

Standard VII

Mathematics

Division of Exponents Having the Same Base

Find the valu...

Question

Find the value of x, if $\frac{8^{x}}{8^{9}} = 8^{15}$ .

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Solution

The correct option is C 24
By the Laws of Exponents, we know that
$\frac{a^{m}}{a^{n}} = a^{m - n}$
Given $\frac{8^{x}}{8^{9}} = 8^{15}$
$⟹$ $8^{x - 9} = 8^{15}$
Since, the bases are same so equating the powers, we get
$x - 9 = 15 ⟹ x = 15 + 9 = 24$ .

Suggest Corrections

Find the value of x, if 8x89=815.

The correct option is C 24By the Laws of Exponents, we know that aman=am−n Given 8x89=815 ⟹ 8x−9=815 Since, the bases are same so equating the powers, we get x−9=15⟹x=15+9=24.

Find the value of x, if $\frac{8^{x}}{8^{9}} = 8^{15}$ .

The correct option is C 24
By the Laws of Exponents, we know that
$\frac{a^{m}}{a^{n}} = a^{m - n}$
Given $\frac{8^{x}}{8^{9}} = 8^{15}$
$⟹$ $8^{x - 9} = 8^{15}$
Since, the bases are same so equating the powers, we get
$x - 9 = 15 ⟹ x = 15 + 9 = 24$ .