Question

(−1.5)^{11}times (−1.5)

Negative numbers and coordinate plane
ANSWERED
asked 2021-02-11
\(\displaystyle{\left(−{1.5}\right)}^{{{11}}}\times{\left(−{1.5}\right)}\)

Answers (1)

2021-02-12
When multiplying powers with the same base, we need to use the Product of Powers Rule which states a^m⋅a^n=a^m+n. This rule is stating that we add the exponents and keep the base the same.
Since \(\displaystyle{\left(−{1.5}\right)}={\left(−{1.5}\right)}^{{{1}}}\), then using the Product of Powers Rule gives:
\(\displaystyle{\left(−{1.5}\right)}^{{{11}}}\times{\left(−{1.5}\right)}={\left(−{1.5}\right)}^{{{11}}}⋅{\left(−{1.5}\right)}^{{{1}}}={\left(−{1.5}\right)}^{{{11}+{1}}}={\left(−{1.5}\right)}^{{{12}}}\)
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