Question

Q1.Express the following in exponential form:(i) 3x3x3x6× 6x6(ii) 4 × 4 × 4 × 2x2× 5x5x5(iii) (-1) × (-1) × (-1) × (-2) × (-2)

Answer 1

1) 3^3*6^3
2) 4^3*2^2*5^3
3) -1^3*-2^2

Answer 2

SOLUTION

TO DETERMINE

To Express the following in exponential form:

(i) 3 x 3 x 3 x 6× 6 x 6

(ii) 4 × 4 × 4 × 2 x 2× 5 x 5 x 5

(iii) (-1) × (-1) × (-1) × (-2) × (-2)

EVALUATION

(i) Here the given expression is

$\sf{3 \times 3 \times 3 \times 6 \times 6 \times 6}$

Here the number of 3 = 3

Number of 6 = 3

Hence

$\sf{3 \times 3 \times 3 \times 6 \times 6 \times 6}$

$\sf{ = {3}^{3} \times {6}^{3} }$

(ii) Here the given expression is

$\sf{4 \times 4 \times 4 \times 2 \times 2 \times 5 \times 5 \times 5}$

Here

Number of 4 = 3

Number of 2 = 2

Number of 5 = 3

Hence

$\sf{4 \times 4 \times 4 \times 2 \times 2 \times 5 \times 5 \times 5}$

$= \sf{ {4}^{3} \times {2}^{2} \times {5}^{3} }$

(iii) Here the given expression is

$\sf{( - 1) \times ( - 1) \times ( - 1) \times ( - 2) \times ( - 2)}$

Here

Number of (-1) = 3

Number of (-2) = 2

Hence

$\sf{( - 1) \times ( - 1) \times ( - 1) \times ( - 2) \times ( - 2)}$

$\sf{ = {( - 1)}^{3} \times {( - 2)}^{2} }$

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