Write each of the following in exponential form-i 32-1 - 32-1 - 32-1 - 32-1ii 25-2 - 25-2 - 25-2

(i) #160;32 1 #215;32 1 #215;32 1 #215;32 1=32 1+ 1+ 1+ 1 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #160 ...

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Byju's Answer

Standard VII

Mathematics

Multiplicative Identity

Write each of...

Question

Write each of the following in exponential form:
(i) ${(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1}$
(ii) ${(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2}$

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Solution

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

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Similar questions

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)

Write each of the following in exponential form:

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

Q. Simplify and write in exponential form:

\frac{(- 3)^{5} \times 8^{3} \times 2^{5}}{3^{2} \times 4^{4}}

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. Simplify and write each of the following in exponential form:
(i) (25)³ ÷ 5³
(ii) (81)⁵ ÷ (3²)⁵
(iii)

\frac{9^{8} \times (x^{2})^{5}}{(27)^{4} \times (x^{3})^{2}}

(iv)

\frac{3^{2} \times 7^{8} \times 13^{6}}{21^{2} \times 91^{3}}

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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 am×an=am+n =32-4(ii) 25-2×25-2×25-2=25-2+-2+-2 am×an=am+n=25-6

Write each of the following in exponential form:
(i) ${(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1} \times {(\frac{3}{2})}^{- 1}$
(ii) ${(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2} \times {(\frac{2}{5})}^{- 2}$