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Operations on Algebraic Expressions

Question

Simplify the following :
$$(2x^{-2}y^{3})^{3} $$

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Solution

Verified by Toppr

Given,

$$(2x^{-2}y^3)^3$$

$$=2^3(x^{-2 \times 3}y^{3 \times 3})$$

$$=8x^{-6}y^9$$

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Similar Questions

Q1

Simplify the following

ii)

(2 x^{- 2} y^{3})^{3}

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Q2

Simplify the following:

(i)

3 {(a^{4} b^{3})}^{10} \times 5 {(a^{2} b^{2})}^{3}

(ii)

{(2 x^{- 2} y^{3})}^{3}

(iii)

\frac{(4 \times 10^{7}) (6 \times 10^{- 5})}{8 \times 10^{4}}

(iv)

\frac{4 a b^{2} (- 5 a b^{3})}{10 a^{2} b^{2}}

(v)

{(\frac{x^{2} y^{2}}{a^{2} b^{3}})}^{n}

(vi)

\frac{{(a^{3 n - 9})}^{6}}{a^{2 n - 4}}

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Q3

Simplify the following:

$(i) 3 (a^{4} b^{3})^{10} \times 5 (a^{2} b^{2})^{3} (i i) (2 x^{- 2} y^{3})^{3} (i i i) \frac{(4 \times 10^{7}) (6 \times 10^{- 5})}{8 \times 10^{4}} (i v) \frac{4 a b^{2} (- 5 a b^{3})}{10 a^{2} b^{2}} (v) {(\frac{x^{2} y^{2}}{a^{2} b^{3}})}^{n} (v i) \frac{(a^{3 n - 9})^{6}}{a^{2 n - 4}}$

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Q4

Simplify the following algebraic expression.

6 x^{2} - 2 x^{2} - 2 x

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Q5

Simplify the following:

- 2 (x + 5) < - 4

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