Solve (3 ^ 7)/(3 ^ 5) * (3 ^ 3) ^ 2 | 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

$$\frac{3^{7}}{3^{5}}\cdot(3^{3})^{2}$$

Evaluate

$6561$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $5$ from $7$ to get $2$.

$$3^{2}\times \left(3^{3}\right)^{2}$$

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

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

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

$$3^{8}$$

Calculate $3$ to the power of $8$ and get $6561$.

$$6561$$

Factor

$3^{8}$