Question

can anyone give me the step by step explanation for solving the sum ??


solve only ( iii ) and ( iv ) one ​

Answer 1

3]

${\textsf{\textbf{\underline{Solution :-}}}}$

[4⁰ + 4² - 2³] × 3⁻²

As

a⁰ = 1

a⁻¹ = 1/a

[1 + 16 - 8] × 1/(3)²

[17 - 8] × 1/9

9 × 1/9

1

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4]

[(5)² - (1/4)⁻²] × (3/4)⁻²

[25 - (4)²] × (4/3)²

[25 - 16] × 16/9

9 × 16/9

16

Answer 2

♡ Annyeong :) !!

Let's Simplify (iii) one

$\: \: \: \: \ \ \longrightarrow \rm{[4 {}^{0} + {4}^{2} - {2}^{3} ] \times (3) {}^{ - 2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \: \rm{ [ 1 +16 - 8 ] \times (3) {}^{ - 2} } \\ \: \: \: \: \: \: \: \: \rightarrow \rm{ [1 + 16 - 8] \times 9}\\ \: \: \: \: \: \: \: \: \rightarrow \rm{ \frac{(17 - 8) }{ 9 } } \\ \: \: \: \: \: \rightarrow{ \cancel \frac{ 9}{9} } \\ \implies \underline{ \boxed{ \rm{ \huge{ \: 1 }}}}$

Simplify (iv) one

$\: \: \: \:\longrightarrow \: [(5) {}^{2} - ( \frac{1}{4} ) {}^{ - 2} ] \times ( \frac{3}{4} ) {}^{ - 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow { \rm{25 - (25 - 4 {}^{2}) } \times ( \frac{4}{3}) {}^{2} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \: (25 - 16) \times \frac{16}{9} \\ \rightarrow \bold{ \cancel{9} \times \frac{16}{ \cancel{9}} } \\\: \implies \underline{ \boxed{ \huge{16}}}$