Question

(b2) what's the missing exponent = b−10

Answer 1

According to the given expression, the value of b if $b^2=b^{-10}$ is -1 and + 1

Indices are expressed using exponents and bases. Some of the useful laws of indices are:

$a^m\times a^n=a^{m+n}\\a^{-n}=\frac{1}{a^n}$

Given the expression;

$b^2=b^{-10}$

This can also be expressed as:

$b^2=\frac{1}{b^{10}}\\b^2 \times b^{10} =1\\b^{2+10} =1\\b^{12}=1\\b=\pm\sqrt[12]{1}\\b=\pm1$

Hence the value of b from the given indices is -1 and + 1

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