Solve (4 ^ 2 * (4 ^ 3) ^ 2)/(4 ^ 3 * 4) = | 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

$$\frac{4^{2}\times(4^{3})^{2}}{4^{3}\times4}=$$

Evaluate

$256$

Solution Steps

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

$$\frac{4^{2}\times 4^{6}}{4^{3}\times 4}$$

To multiply powers of the same base, add their exponents. Add $2$ and $6$ to get $8$.

$$\frac{4^{8}}{4^{3}\times 4}$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$\frac{4^{8}}{4^{4}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $4$ from $8$ to get $4$.

$$4^{4}$$

Calculate $4$ to the power of $4$ and get $256$.

$$256$$

Factor

$2^{8}$