Solve ((15/21) ^ 15) / ((15/21) ^ 11) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(\frac{15}{21})^{15}\div(\frac{15}{21})^{11}$$

Evaluate

$\frac{625}{2401}\approx 0.260308205$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $11$ from $15$ to get $4$.

$$\left(\frac{15}{21}\right)^{4}$$

Reduce the fraction $\frac{15}{21}$ to lowest terms by extracting and canceling out $3$.

$$\left(\frac{5}{7}\right)^{4}$$

Calculate $\frac{5}{7}$ to the power of $4$ and get $\frac{625}{2401}$.

$$\frac{625}{2401}$$

Factor

$\frac{5 ^ {4}}{7 ^ {4}} = 0.2603082049146189$