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Popular >

simplify (6^a)^b(6^2)^b

Solution

simplify

(6^{a})^{b} (6^{2})^{b}

Solution

6^{b (a + 2)}

Solution steps

(6^{a})^{b} (6^{2})^{b}

Apply exponent rule:

a^{n} b^{n} = (a \cdot b)^{n}

(6^{a})^{b} (6^{2})^{b} = (6^{a} \cdot 6^{2})^{b}

= (6^{a} \cdot 6^{2})^{b}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

6^{a} \cdot 6^{2} = 6^{a + 2}

= (6^{a + 2})^{b}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 6^{b (a + 2)}

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Frequently Asked Questions (FAQ)

What is (6^a)^b(6^2)^b ?
The solution to (6^a)^b(6^2)^b is 6^{b(a+2)}