Question

5.2 negative exponents: proble
(1 point)
write the expression with positive exponents and simplify:
$a^{4}b^{-7}=\square$
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Explanation:

Step1: Apply the negative exponent rule

The rule is \(a^{-n}=\frac{1}{a^{n}}\). For the term \(b^{-7}\), we can rewrite it as \(\frac{1}{b^{7}}\). So \(a^{4}b^{-7}=a^{4}\times\frac{1}{b^{7}}\).

Step2: Simplify the expression

When we multiply \(a^{4}\) and \(\frac{1}{b^{7}}\), we get \(\frac{a^{4}}{b^{7}}\).

Answer:

\(\frac{a^{4}}{b^{7}}\)