Question

Explain how its false

Answer 1

The powers will be added together not the numbers ( bases)

Answer 2

No

Explanation:

An exponent signifies the number of times the base is a factor in the product. When products involving the same base are multiplied, the total number of factors is the sum of the number in each of those products.

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`5^2=5\cdot5\\\\5^9=5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\\\\5^2\cdot5^9=(5\cdot5)\cdot(5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5)=5^(11)`

The base of the exponent in the product is the value that is a repeated factor. It is 5, not (5·5).

Your friend is not correct.

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The general rule for exponents is ...

(a^b)(a^c) = a^(b+c)