Write these in exponential form-1 6 - 6 - 6 - 62 -5 -5 -53 1-2 -1-2 -1-2 -1-2 -1-24 0-2 - 0-2 - 0-2532 -32 -32

(1) 6 × 6 × 6 × 6 = 64 (2) (−5) × (−5) × (−5) = (−5)3 (3) (4) 0.2 × 0.2 × 0.2 = (0.2)3 (5) (32) × (32) × (32) = (32)3 ...

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Byju's Answer

Standard VII

Mathematics

Multiplication of Integers

Write these i...

Question

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)

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Solution

(1) 6 × 6 × 6 × 6 = 6⁴

(2) (−5) × (−5) × (−5) = (−5)³

(3)

(4) 0.2 × 0.2 × 0.2 = (0.2)³

(5) (3²) × (3²) × (3²) = (3²)³

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Similar questions

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

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

Evaluate (i) (ii)

Evaluate :

$(i) (3^{- 1} \times 9^{- 1}) \div 3^{- 2} (i i) (3^{- 1} \times 4^{- 1}) \div 6^{- 1} (i i i) (2^{- 1} + 3^{- 1})^{3} (i v) (3^{- 1} \div 4^{- 1})^{2} (v) (2^{2} + 3^{2}) \times {(\frac{1}{2})}^{2} (v i) (5^{2} - 3^{2}) \times {(\frac{2}{3})}^{- 3} (v i i) [{(\frac{1}{4})}^{- 3} - {(\frac{1}{3})}^{- 3}] \div {(\frac{1}{6})}^{- 3} (v i i i) {[{(- \frac{3}{4})}^{- 2}]}^{2} (i x) {{(\frac{3}{5})}^{- 2}}^{- 2} (x) (5^{- 1} \times 3^{- 1}) \div 6^{- 1}$

Q. Write in exponential form:

2^{3} + 2^{5} + 2^{6} - 2^{2}

Q. Represent the following mixed infinite decimal periodic fractions as common fractions:

\frac{3 \frac{1}{3} \sqrt{\frac{9}{80}} - \frac{5}{4} \sqrt{\frac{4}{5}} + 5 \sqrt{\frac{1}{5}} + \sqrt{20} - 10 \sqrt{0.2}}{3 \frac{1}{2} \sqrt{32} - \sqrt{4 \frac{1}{2}} + 2 \sqrt{\frac{1}{8}} + 6 \sqrt{\frac{2}{9}} - 140 \sqrt{0.02}} \sqrt{\frac{2}{3}}

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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)

(1) 6 × 6 × 6 × 6 = 64 (2) (−5) × (−5) × (−5) = (−5)3 (3) (4) 0.2 × 0.2 × 0.2 = (0.2)3 (5) (32) × (32) × (32) = (32)3

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)

(1) 6 × 6 × 6 × 6 = 6⁴

(2) (−5) × (−5) × (−5) = (−5)³

(3)

(4) 0.2 × 0.2 × 0.2 = (0.2)³

(5) (3²) × (3²) × (3²) = (3²)³