Class 8, Maths, Chapter 12, Exercise 12.1 Solutions
Q.1. Evaluate
(i) 3-2
(ii) (-4)-2
(iii) ${{\left( \frac{1}{2} \right)}^{-5}}$
Q.2. Simplify and express the result in power notation with positive exponent.
(i) (– 4)5 ÷ (–4)8
(ii) ${{\left( \frac{1}{{{2}^{3}}} \right)}^{2}}$
(iii) (-3) × ${{\left( \frac{5}{3} \right)}^{4}}$
(iv) (3–7÷3–10) × 3–5
(v) 2–3 × (–7)–3
Q.3. Find the value of.
(i) (3°+ 4–1) × 22
(ii) (2–1 × 4–1) ÷ 2–2
(iii) ${{\left( \frac{1}{2} \right)}^{-2}}+{{\left( \frac{1}{3} \right)}^{-2}}+{{\left( \frac{1}{4} \right)}^{-2}}$
(iv) (3–1 + 4–1 + 5–1)0
(v) ${{\left\{ {{\left( \frac{-2}{3} \right)}^{-2}} \right\}}^{2}}$
Q.4. Evaluate
(i) $\frac{8{}^{-1}\times 8{}^{3}}{2{}^{-4}}$
(ii) (5–1 × 2–1) × 6–1
Q.5. Find the value of m for which 5m÷ 5–3 = 55
Q.6. Evaluate
Q.7. Simplify.
