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4^2 • 4^3 Kerry is trying to solve the above expression. She takes the following steps: Kerry notices the bases of each power are the same, so she writes 4 down as the base of her answer. Kerry sees that this is a multiplication problem, so she multiplies the exponents together to get 6 as the exponent of her answer. Kerry arrives at the answer 4^6. Which step(s) did she make a mistake in and what was the mistake?
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When bases are same and there's a multiply sign in b/w you add the exponents.
mistake in the very first step -> kerry attempts to solve this problem! :|
\[x^a \times x^b = x^{a+b}\]
She did mistake in second step by multiplying the two exponents...
it should be...\[4^{2} * 4^{3} = 4 ^{(2 +3)} = 4^{5} = 1024\]
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