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

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

Evaluate

$3125$

Solution Steps

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

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

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

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

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $5$ from $10$ to get $5$.

$$5^{5}$$

Calculate $5$ to the power of $5$ and get $3125$.

$$3125$$

Factor

$5^{5}$