Simplify 43 x a9 b6 c2-42 x a4 b5 cA- 4 a 5 cB- 4 a 5 bcC- 4 a5 b2 cD- 4 xabc

The correct option is B 4a^5bc nbsp;We know thata^m/a^n=a^m n, nbsp; Given, 4^3xa^9b^6c^24^2xa^4b^5c = (4^3 2)(x^1 1)(a^9 4)(b^6 5)(c^2 1) =4a^5bc ...

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Byju's Answer

Standard VII

Mathematics

Division of Exponents Having the Same Base

Simplify 43 x...

Question

Simplify $\frac{4^{3} x a^{9} b^{6} c^{2}}{4^{2} x a^{4} b^{5} c}$ .

a^{5} c

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a^{5} b c

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a^{5} b^{2} c

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x a b c

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Solution

The correct option is B 4 $a^{5} b c$

We know that $\frac{a^{m}}{a^{n}} = a^{m - n}$ ,
Given, $\frac{4^{3} x a^{9} b^{6} c^{2}}{4^{2} x a^{4} b^{5} c} = (4^{3 - 2}) (x^{1 - 1}) (a^{9 - 4}) (b^{6 - 5}) (c^{2 - 1})$
$= 4 a^{5} b c$

Suggest Corrections

Simplify 43xa9b6c242xa4b5c.

The correct option is B 4a5bc We know thataman=am−n, Given, 43xa9b6c242xa4b5c=(43−2)(x1−1)(a9−4)(b6−5)(c2−1) =4a5bc

Simplify $\frac{4^{3} x a^{9} b^{6} c^{2}}{4^{2} x a^{4} b^{5} c}$ .

The correct option is B 4 $a^{5} b c$

We know that $\frac{a^{m}}{a^{n}} = a^{m - n}$ ,
Given, $\frac{4^{3} x a^{9} b^{6} c^{2}}{4^{2} x a^{4} b^{5} c} = (4^{3 - 2}) (x^{1 - 1}) (a^{9 - 4}) (b^{6 - 5}) (c^{2 - 1})$
$= 4 a^{5} b c$