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Simplify the expressions
(24m^-2n)(1/4mn)

1 Answer

7 votes

Answer:

6n^2/m

Explanation:

Use the rules of exponents to simplify the expression.

24^1m^ −2 n^1 ×( 4/1 )^1m^1n^1

Use the Commutative Property of Multiplication.

24^1 ×( 4/1 ) ^1 m −2m ^1n ^1n^1

To multiply powers of the same base, add their exponents.

24^1 ×(4/1 )^1m^−2+1 n^1+1

Add the exponents −2 and 1.

24^1×(4/1)^1 × ( m^1)n^1+1

Add the exponents 1 and 1.

24^1 ×(4/1)^1 × (m/1)n^2

Multiply 24 times 4/1.

6×(m^1)n^2

Answer.

6n^2/m

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