Solve [(5 ^ 2) ^ 3 * 5 ^ 4] / (5 ^ 7) | 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

$$[(5^{2})^{3}\times5^{4}]\div5^{7}$$

Evaluate

$125$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply $2$ and $3$ to get $6$.

$$\frac{5^{6}\times 5^{4}}{5^{7}}$$

To multiply powers of the same base, add their exponents. Add $6$ and $4$ to get $10$.

$$\frac{5^{10}}{5^{7}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $7$ from $10$ to get $3$.

$$5^{3}$$

Calculate $5$ to the power of $3$ and get $125$.

$$125$$

Factor

$5^{3}$