1. **Identify the expression:** The given expression is $-10 \cdot 4^{-2}$. 2. **Apply the negative exponent rule:** The rule for negative exponents states that $a^{-n} = \frac{1}{a^n}$. Therefore, $4^{-2} = \frac{1}{4^2}$. 3. **Calculate the power:** We know that $4^2 = 16$, so $4^{-2} = \frac{1}{16}$. 4. **Substitute back into the expression:** Now substitute this value back into the original expression: $-10 \cdot \frac{1}{16} = -\frac{10}{16}$. 5. **Simplify the fraction:** Divide both the numerator and the denominator by their greatest common divisor, which is 2: $-\frac{10 \div 2}{16 \div 2} = -\frac{5}{8}$. Comparing this result to the given options, it matches option B.

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-10 4^-2

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Problem

-10 * 4^-2

Answer

$-\frac{5}{8}$

Step-by-step solution

Identify the expression: The given expression is $-10 \cdot 4^{-2}$.

Apply the negative exponent rule: The rule for negative exponents states that $a^{-n} = \frac{1}{a^n}$. Therefore, $4^{-2} = \frac{1}{4^2}$.

Calculate the power: We know that $4^2 = 16$, so $4^{-2} = \frac{1}{16}$.

Substitute back into the expression: Now substitute this value back into the original expression: $-10 \cdot \frac{1}{16} = -\frac{10}{16}$.

Simplify the fraction: Divide both the numerator and the denominator by their greatest common divisor, which is 2: $-\frac{10 \div 2}{16 \div 2} = -\frac{5}{8}$.

Comparing this result to the given options, it matches option B.

-10 4^-2

Problem

Answer

Step-by-step solution

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