Question

Simplify:

(1) 5⁴ × 5³
(2) 7⁸ ÷ 7³
(3) 47⁰
(4) (11 × 4)²
(5) (2³)⁵
(6) 3⁻⁴
(7) ${\left(\frac{2}{3}\right)}^4\times {\left(\frac{2}{3}\right)}^6$
(8) ${\left(\frac{2}{7}\right)}^0$
(9) ${\left(\frac{3}{5}\right)}^7$
(10) ${\left[{\left(\frac{3}{4}\right)}^2\right]}^5$

Answer 1

(1) 5⁴ × 5³ can be written as 5⁴⁺³ = 5⁷
(2) 7⁸ ÷ 7³ can be written as 7⁸⁻³ = 7⁵
(3) 47⁰ can be written as 1
(4) (11 × 4)² can be written as 11² × 4²
(5) (2³)⁵ can be written as 2^3×5 = 2¹⁵
(6) 3⁻⁴ can be written as $\frac{1}{3^4}$
(7) ${\left(\frac{2}{3}\right)}^4\times {\left(\frac{2}{3}\right)}^6$ can be written as ${\left(\frac{2}{3}\right)}^{4+6}={\left(\frac{2}{3}\right)}^{10}$
(8) ${\left(\frac{2}{7}\right)}^0$ can be written as 1
(9) ${\left(\frac{3}{5}\right)}^7$ can be written as $\frac{3^7}{5^7}$
(10) ${\left({\frac{3}{4}}^2\right)}^5$ can be written as ${\left(\frac{3}{4}\right)}^{2\times 5}={\left(\frac{3}{4}\right)}^{10}$