Basic Math Examples

$\frac{{(A^{3})}^{7}}{{(B^{4})}^{5}}$

Step 1

Multiply the exponents in ${(A^{3})}^{7}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{A^{3 \cdot 7}}{{(B^{4})}^{5}}$

Step 1.2

Multiply $3$ by $7$ .

$\frac{A^{21}}{{(B^{4})}^{5}}$

Step 2

Multiply the exponents in ${(B^{4})}^{5}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{A^{21}}{B^{4 \cdot 5}}$

Step 2.2

Multiply $4$ by $5$ .

$\frac{A^{21}}{B^{20}}$