Question

The radical expression must be solved using exponents. Exponential, decide with radicals: 2^{-1.5}

Rational exponents and radicals
ANSWERED
asked 2021-08-07
The radical expression must be solved using exponents. Exponential, decide with radicals.
\(\displaystyle{2}^{{-{1.5}}}\)

Answers (1)

2021-08-08
Step 1
\(\displaystyle{2}^{{-{1.5}}}={\frac{{{1}}}{{{2}^{{{1.5}}}}}}\)
\(\displaystyle={\frac{{{1}}}{{{2}^{{{\frac{{{3}}}{{{2}}}}}}}}}\)
\(\displaystyle={\frac{{{1}}}{{\sqrt{{{2}^{{{3}}}}}}}}\)
\(\displaystyle={\frac{{{1}}}{{{2}\sqrt{{{2}}}}}}\)
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