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Popular >

simplify (6^{x+1})(6^{x-1})

Solution

simplify

(6^{x + 1}) (6^{x - 1})

Solution

3 6^{x}

Solution steps

(6^{x + 1}) (6^{x - 1})

Simplify

(6^{x + 1}) (6^{x - 1}) : 6^{x + 1} \cdot 6^{x - 1}

= 6^{x + 1} \cdot 6^{x - 1}

Apply exponent rule:

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

6^{x + 1} \cdot 6^{x - 1} = 6^{x + 1 + x - 1}

= 6^{x + 1 + x - 1}

Simplify

x + 1 + x - 1 : 2 x

= 6^{2 x}

Apply exponent rule:

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

6^{2 x} = (6^{2})^{x}

= (6^{2})^{x}

6^{2} = 36

= 3 6^{x}

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Frequently Asked Questions (FAQ)

What is (6^{x+1})(6^{x-1}) ?
The solution to (6^{x+1})(6^{x-1}) is 36^x