Write each of the following in exponential form- i- 3-2 -1- 3-2 -1- 3-2 -1- 3-2 -1-ii- 2-5 -2- 2-5 -2- 2-5 -2

(i) ( 3/2 )^ 1× ( 3/2 )^ 1× ( 3/2 )^ 1× ( 3/2 )^ 1 ( 3/2 )^ 1+( 1)+( 1)+( 1)= ( 3/2 )^ 4 (ii) ( 2/5 )^ 2× ( 2/5 )^ 2× ( 2/5 )^ 2 ( 2/5 )^ 2+( 2)+( 2)= ( 2/ ...

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Byju's Answer

Standard VIII

Mathematics

Exponents with like Bases

Write each of...

Question

Write each of the following in exponential form:

$(i) {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} (i i) {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2}$

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Solution

$(i) {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} {(\frac{3}{2})}^{- 1 + (- 1) + (- 1) + (- 1)} = {(\frac{3}{2})}^{- 4} (i i) {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2} {(\frac{2}{5})}^{- 2 + (- 2) + (- 2)} = {(\frac{2}{5})}^{- 6}$

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Similar questions

Q. Write each of the following in exponential form:
(i)

{(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1}

(ii)

{(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2}

Write these in exponential form.

(1) 6 × 6 × 6 × 6

(2) (−5) × (−5) × (−5)

(3)

(4) 0.2 × 0.2 × 0.2

(5) (3²) × (3²) × (3²)

Expand the following exponential numbers:

(1) 2³

(2) 3²

(3) (−4)⁴

(4)

(5) (5²)³

Q. Match the reciprocal of each of the following in exponential form.

$(1)$	$3^{2}$	$(a)$	${(- \frac{7}{3})}^{89}$
$(2)$	$(- 5)^{3}$	$(b)$	${(- \frac{1}{5})}^{3}$
$(3)$	${(\frac{2}{5})}^{4}$	$(c)$	${(\frac{1}{3})}^{2}$
$(4)$	${(\frac{- 3}{7})}^{89}$	$(d)$	${(\frac{5}{2})}^{4}$

Q. Question 1(ii)
Using appropriate properties find:

\frac{2}{5} \times (\frac{- 3}{7}) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}

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Write each of the following in exponential form: (i) (32)−1×(32)−1×(32)−1×(32)−1 (ii) (25)−2×(25)−2×(25)−2

(i) (32)−1×(32)−1×(32)−1×(32)−1(32)−1+(−1)+(−1)+(−1)=(32)−4(ii) (25)−2×(25)−2×(25)−2(25)−2+(−2)+(−2)=(25)−6

Write each of the following in exponential form:

$(i) {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} (i i) {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2}$