Maharashtra Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 26

Maharashtra State Board Class 7 Maths Solutions Chapter 6 Indices Practice Set 26

Question 1.
Complete the table below:

 Sr. No. Indices (Numbers in index form) Base Index Multiplication form Value i. 34 3 4 3 x 3 x 3 x 3 81 ii. 163 iii. (-8) 2 iv. $$\frac{3}{7} \times \frac{3}{7} \times \frac{3}{7} \times \frac{3}{7}$$ $$\frac { 81 }{ 2401 }$$ v. (-13)4

Solution:

 Sr. No. Indices (Numbers in index form) Base Index Multiplication form Value i. 34 3 4 3 x 3 x 3 x 3 81 ii. 163 16 3 16 x 16 x 16 4096 iii. (-8)² (-8) 2 -8 x -8 64 iv. $$\left(\frac{3}{7}\right)^{4}$$ $$\frac { 7 }{ 7 }$$ 4 $$\frac{3}{7} \times \frac{3}{7} \times \frac{3}{7} \times \frac{3}{7}$$ $$\frac { 81 }{ 2401 }$$ v. (-13)4 -13 4 (-13) x (-13) x (-13) x (-13) 28561

Question 2.
Find the value of.
i. 210
ii. 53
iii. (-7)4
iv. (-6)3
v. 93
vi. 81
vii. $$\left(\frac{4}{5}\right)^{3}$$
viii. $$\left(-\frac{1}{2}\right)^{4}$$
Solution:
i. 210
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 1024

ii. 53
= 5 × 5 × 5
= 125

iii. (-7)4
= (-7) × (-7) × (-7) × (-7)
= 2401

iv. (-6)3
= (-6) × (-6) × (-6)
= -216

v. 93
= 9 × 9 × 9
= 729

vi. 81
= 8

vii. $$\left(\frac{4}{5}\right)^{3}$$
$$=\frac{4}{5} \times \frac{4}{5} \times \frac{4}{5}=\frac{64}{125}$$

viii. $$\left(-\frac{1}{2}\right)^{4}$$
$$=\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right) \times\left(-\frac{1}{2}\right)=\frac{1}{16}$$

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