Chapter 5: Q. 110 (page 521)

(a) $s^{3} s^{- 7}$
(b) $(m^{3} n^{- 3}) (m^{- 5} n^{- 1})$
(c) $(- 2 j^{- 5} k^{8}) (7 j^{2} k^{- 3})$

Short Answer

Expert verified

(a) $s^{- 4}$

(b) $m^{- 2} n^{- 4}$

Step by step solution

Part (a) Step 1 . Given Information

The given expression is :

$s^{3} s^{- 7}$ , we need to simplify the expression.

Part (a) Step 2 . Product Property

If $a$ is a real number and $m$ and $n$ are integers, then :

$a^{m} . a^{n} = a^{m + n}$

Part (a) Step 3 .Simplify the expression

Using the Product property :

$s^{3} s^{- 7} = s^{3 + (- 7)}$

$s^{3 - 7} = s^{4}$

Part (b) Step 1 . Given Information

The given expression is :

$(m^{3} n^{- 3}) (m^{- 5} n^{- 1})$ , we need to simplify the expression

Part (b) Step 2 . Product Property

If $a$ is a real number and $m$ and $n$ are integer, then :

$a^{m} . a^{n} = a^{m + n}$

Part (b) Step 3 .Simplify the expression

Using the Product Property :

$(m^{3} n^{- 3}) (m^{- 5} n^{- 1}) = m^{3 + (- 5)} n^{- 3 + (- 1)}$

$m^{3 - 5} n^{- 3 - 1} = m^{- 2} n^{- 4}$

Part (c) Step 1 . Given Information

The given expression is :

$(- 2 j^{- 5} k^{8}) (7 j^{3} k^{- 3})$ , we need to simplify the expression

Part (c) Step 2 . Product Property

If $a$ is a real number and $m$ and $n$ are integers , then :

$a^{m} . a^{n} = a^{m + n}$

Part (c) Step 3 .Simplify the expression

Using the Product Property :

$(- 2 j^{- 5} k^{8}) (7 j^{2} k^{- 3}) = (- 2.7 j^{- 5 + 2}) (k^{8 + - (3)})$

$- 14 j^{- 3} k^{8 - 3} = - 14 j^{- 3} k^{5}$

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(a) $s^{3} s^{- 7}$
(b) $(m^{3} n^{- 3}) (m^{- 5} n^{- 1})$
(c) $(- 2 j^{- 5} k^{8}) (7 j^{2} k^{- 3})$

Short Answer

Step by step solution

Part (a) Step 1 . Given Information

Part (a) Step 2 . Product Property

Part (a) Step 3 .Simplify the expression

Part (b) Step 1 . Given Information

Part (b) Step 2 . Product Property

Part (b) Step 3 .Simplify the expression

Part (c) Step 1 . Given Information

Part (c) Step 2 . Product Property

Part (c) Step 3 .Simplify the expression

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(a)s3s-7(b)(m3n-3)(m-5n-1)(c)(-2j-5k8)(7j2k-3)

Short Answer

Step by step solution

Part (a) Step 1 . Given Information

Part (a) Step 2 . Product Property

Part (a) Step 3 .Simplify the expression

Part (b) Step 1 . Given Information

Part (b) Step 2 . Product Property

Part (b) Step 3 .Simplify the expression

Part (c) Step 1 . Given Information

Part (c) Step 2 . Product Property

Part (c) Step 3 .Simplify the expression

One App. One Place for Learning.

Most popular questions from this chapter

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(a) $s^{3} s^{- 7}$
(b) $(m^{3} n^{- 3}) (m^{- 5} n^{- 1})$
(c) $(- 2 j^{- 5} k^{8}) (7 j^{2} k^{- 3})$