Solve 49^frac{3{4}}*49^frac{-1{4}}

$$49 ^ { \frac { 3 } { 4 } } \cdot 49 ^ { \frac { - 1 } { 4 } }$$

Evaluate

$$7$$

Solution Steps

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$49^{\frac{3}{4}}\times 49^{-\frac{1}{4}}$$

To multiply powers of the same base, add their exponents. Add \frac{3}{4} and -\frac{1}{4} to get \frac{1}{2}.

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

Calculate 49 to the power of \frac{1}{2} and get 7.

$$7$$

Factor

$$7$$