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$a-1/evaluate-expressions-using-exponent-rules My IXL Learning Assessment Evaluate. Write your answer as a whole number or as a simplified fraction. 2^(-2)*6^(-3)*10= ◻ Submit Work it out Not feeling ready yet? These can h Multiplication rule for exponents Division Powers with integer bases Negative Lesson: Properties of exponents$

a $-1$ /evaluate-expressions-using-exponent-rules $\newline$ My IXL $\newline$ Learning $\newline$ Assessment $\newline$ Evaluate. Write your answer as a whole number or as a simplified fraction. $\newline$ $2^{-2} \cdot 6^{-3} \cdot 10=$ $\newline$ $\square$ $\newline$ Submit $\newline$ Work it out $\newline$ Not feeling ready yet? These can $h$ $\newline$ Multiplication rule for exponents $\newline$ Division $\newline$ Powers with integer bases $\newline$ Negative $\newline$ Lesson: Properties of exponents

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Math Problems

Grade 6

One-step inequalities: word problems

Full solution

Q. a

-1

/evaluate-expressions-using-exponent-rules

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My IXL

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Learning

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Assessment

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Evaluate. Write your answer as a whole number or as a simplified fraction.

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2^{-2} \cdot 6^{-3} \cdot 10=

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\square

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Submit

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Work it out

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Not feeling ready yet? These can

h

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Multiplication rule for exponents

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Division

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Powers with integer bases

\newline

Negative

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Lesson: Properties of exponents

Simplify $2^{-2}$ : First, let's simplify each term separately. $\newline$ $2^{-2}$ means $1/(2^2)$ , which is $1/4$ .
Simplify $6^{-3}$ : Now, $6^{-3}$ means $1/(6^3)$ , which is $1/216$ .
Deal with $10$ : The term $10$ has no exponent, so it remains as $10$ .
Multiply simplified terms: Next, we multiply the simplified terms together: $(\frac{1}{4}) \times (\frac{1}{216}) \times 10$ .
Simplify fraction: Multiplying fractions is straight up, so we get $(1 \times 1 \times 10)/(4 \times 216)$ .
Reduce fraction: Now, we simplify the fraction: $\frac{10}{4\times216}$ is the same as $\frac{10}{864}$ .
Reduce fraction: Now, we simplify the fraction: $\frac{10}{4\times216}$ is the same as $\frac{10}{864}$ .We can reduce the fraction by dividing both the numerator and the denominator by $4$ . $\frac{10}{864}$ becomes $\frac{10}{864}$ divided by $\frac{4}{4}$ , which is $\frac{2.5}{216}$ .