Basic Math Examples

$(7^{\frac{1}{4}}) (49^{\frac{- 5}{8}})$

Step 1

Move the negative in front of the fraction.

$7^{\frac{1}{4}} \cdot 49^{- \frac{5}{8}}$

Step 2

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

$7^{\frac{1}{4}} \cdot \frac{1}{49^{\frac{5}{8}}}$

Step 3

Combine $7^{\frac{1}{4}}$ and $\frac{1}{49^{\frac{5}{8}}}$ .

$\frac{7^{\frac{1}{4}}}{49^{\frac{5}{8}}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7^{\frac{1}{4}}}{49^{\frac{5}{8}}}$

Decimal Form:

$0.\overline{142857}$