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Popular >

simplify 5(-1)^x*5(-1)^x

Solution

simplify

5 (- 1)^{x} \cdot 5 (- 1)^{x}

Solution

5^{2} (- 1)^{2 x}

Solution steps

5 (- 1)^{x} \cdot 5 (- 1)^{x}

Apply exponent rule:

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

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

= 5 \cdot 5 (- 1)^{x + x}

Add similar elements:

x + x = 2 x

= 5 \cdot 5 (- 1)^{2 x}

Apply exponent rule:

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

5 \cdot 5 = 5^{1 + 1}

= 5^{1 + 1} (- 1)^{2 x}

Add the numbers:

1 + 1 = 2

= 5^{2} (- 1)^{2 x}

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Frequently Asked Questions (FAQ)

What is 5(-1)^x*5(-1)^x ?
The solution to 5(-1)^x*5(-1)^x is 5^2(-1)^{2x}