3 years ago

If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m?

Mathematics

1 answer:

IrinaK [193]3 years ago

8 0

Answer:

Step-by-step explanation:

5^(k-1)+5^(k-1)=m

Going to combine like terms on left:

2×5^(k-1)=m

Law of exponents applied:

2×5^k×5^(-1)=m

Reciprocal:

2×5^k×1/5=m

Multiply 5 on both sides to obtain the requested:

2×5^k=5m

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3 years ago

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