Express each of the following as a rational number in the form p-q- i-6-1-ii-7-1-iii- 1-4 -1-iv-4-1- -3-2 -1-v- 3-5 -1- 5-2 -1

(i) 6^ 1=1/6 (ii) ( 7)^ 1= 1/7 (iii) ( 1/4 )^ 1=4/1=4 (iv) ( 4)^ 1× ( 3/2 )^ 1= ( 1/ 4 )^1 × ( 2/3 )^1 = 1/4× 2/3=1 × 1/2 × 3=1/6 (v) ( 3/5 )^ 1× ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Rational Numbers

Express each ...

Question

Express each of the following as a rational number in the form $\frac{p}{q} :$

$(i) 6^{- 1} (i i) (- 7)^{- 1} (i i i) {(\frac{1}{4})}^{- 1} (i v) (- 4)^{- 1} \times {(\frac{- 3}{2})}^{- 1} (v) {(\frac{3}{5})}^{- 1} \times {(\frac{5}{2})}^{- 1}$

Open in App

Solution

$(i) 6^{- 1} = \frac{1}{6} (i i) (- 7)^{- 1} = \frac{- 1}{7} (i i i) {(\frac{1}{4})}^{- 1} = \frac{4}{1} = 4 (i v) (- 4)^{- 1} \times {(\frac{- 3}{2})}^{- 1} = {(\frac{1}{- 4})}^{1} \times {(\frac{- 2}{3})}^{1} = \frac{- 1}{4} \times \frac{- 2}{3} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6} (v) {(\frac{3}{5})}^{- 1} \times {(\frac{5}{2})}^{- 1} = {(\frac{5}{3})}^{1} \times {(\frac{2}{5})}^{1} = \frac{5}{3} \times \frac{2}{5} = \frac{2}{3}$

Suggest Corrections

Similar questions

Q. Express each of the following as a rational number in the form

\frac{p}{q} :

(i) 6⁻¹
(ii) (−7)⁻¹
(iii)

{(\frac{1}{4})}^{- 1}

(iv)

(- 4)^{- 1} \times {(\frac{- 3}{2})}^{- 1}

(v)

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

Express each of the following as a rational number of the form $\frac{p}{q}$ ,where p and q are integers and $q \neq 0 : (i) 2^{- 3} (i i) (- 4)^{- 2} (i i i) \frac{1}{3^{- 2}} (i v) {(\frac{1}{2})}^{- 5} (i v) {(\frac{2}{3})}^{- 2}$

Q. Express each of the following as a rational number:

(i) (4)⁻¹
(ii) (−6)⁻¹
(iii)

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

(iv)

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

Q. Express each of the following as a rational number:

(i) 5⁻³
(ii) (−2)⁻⁵
(iii)

{(\frac{1}{4})}^{- 4}

(iv)

{(\frac{- 3}{4})}^{- 3}

(v)

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

(vi)

{(\frac{5}{7})}^{- 1} \times {(\frac{7}{4})}^{- 1}

(vii) (5⁻¹−7⁻¹)⁻¹
(viii)

{\{{(\frac{4}{3})}^{- 1} - {(\frac{1}{4})}^{- 1}\}}^{- 1}

(ix)

\{{(\frac{3}{2})}^{- 1} \div {(\frac{- 2}{5})}^{- 1}\}

(x)

{(\frac{23}{25})}^{0}

List five rational numbers between:

(i) $- 1$ and $0$ (ii) $- 2$ and $- 1$

(iii) $\frac{- 4}{5}$ and $\frac{- 2}{3}$ (iv) $\frac{1}{2}$ and $\frac{2}{3}$

Join BYJU'S Learning Program

Express each of the following as a rational number in the form pq: (i) 6−1 (ii) (−7)−1 (iii) (14)−1 (iv) (−4)−1×(−32)−1 (v) (35)−1×(52)−1

(i) 6−1=16(ii) (−7)−1=−17(iii) (14)−1=41=4(iv) (−4)−1×(−32)−1=(1−4)1×(−23)1=−14×−23=1×12×3=16(v) (35)−1×(52)−1=(53)1×(25)1=53×25=23

Express each of the following as a rational number in the form $\frac{p}{q} :$

$(i) 6^{- 1} (i i) (- 7)^{- 1} (i i i) {(\frac{1}{4})}^{- 1} (i v) (- 4)^{- 1} \times {(\frac{- 3}{2})}^{- 1} (v) {(\frac{3}{5})}^{- 1} \times {(\frac{5}{2})}^{- 1}$