Solve ((g ^ 89)/(g ^ 70)) ^ 8 * g ^ 5 | 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

$$(\frac{g^{89}}{g^{70}})^{8}\times g^{5}$$

Evaluate

$g^{157}$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $70$ from $89$ to get $19$.

$$\left(g^{19}\right)^{8}g^{5}$$

To raise a power to another power, multiply the exponents. Multiply $19$ and $8$ to get $152$.

$$g^{152}g^{5}$$

To multiply powers of the same base, add their exponents. Add $152$ and $5$ to get $157$.

$$g^{157}$$

Expand

$g^{157}$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $70$ from $89$ to get $19$.

$$\left(g^{19}\right)^{8}g^{5}$$

To raise a power to another power, multiply the exponents. Multiply $19$ and $8$ to get $152$.

$$g^{152}g^{5}$$

To multiply powers of the same base, add their exponents. Add $152$ and $5$ to get $157$.

$$g^{157}$$