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Popular >

simplify 5^y+5^{y+1}

Solution

simplify

5^{y} + 5^{y + 1}

Solution

6 \cdot 5^{y}

Solution steps

5^{y} + 5^{y + 1}

Apply exponent rule:

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

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

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

Factor out common term

5^{y}

= 5^{y} (1 + 5^{1})

Refine

= 6 \cdot 5^{y}

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Frequently Asked Questions (FAQ)

What is 5^y+5^{y+1} ?
The solution to 5^y+5^{y+1} is 6*5^y