Question

How do you rewrite 9^-2 without an exponent

Answer 1

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ 9^{-2}\implies \cfrac{1}{9^2}\implies \cfrac{1}{81}$

Answer 2

The exponent can be represented as fraction 1/81.

What is an exponent?

An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power. Exponents are used to show repeated multiplication of a number by itself.

For the given situation,

The exponent is 9^-2.

The exponent in negative form can be expressed as positive exponent as

$a^{-n}=\frac{1}{a^{n} }$

⇒ $9^{-2}=\frac{1}{9^{2} }$

⇒ $9^{-2}=\frac{1}{81}$

Hence we can conclude that the exponent can be represented as fraction 1/81.

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