Evaluate 49^(-1/2) - MathMaster

$49^{\frac{- 1}{2}}$

Move the negative in front of the fraction.

$49^{- \frac{1}{2}}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{49^{\frac{1}{2}}}$

Simplify the denominator.

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Rewrite $49$ as $7^{2}$ .

$\frac{1}{{(7^{2})}^{\frac{1}{2}}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{7^{2 (\frac{1}{2})}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{1}{7^{2 (\frac{1}{2})}}$

Rewrite the expression.

$\frac{1}{7^{1}}$

Evaluate the exponent.

$\frac{1}{7}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{7}$

Decimal Form:

$0.\overline{142857}$

Evaluate 49^(-1/2)

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