Question

Maths class 9 ... pls help​

Answer 1

(81/16)^-3/4 × [ (25/9)^-3/2 ÷ (5/2)^-3] = 1

Taking LHS,

= [16/81]^3/4 × [ (9/25)^3/2 ÷ (2/5)^3 ]

= [(16/81)^1/4]^3 × { [(9/25)^1/2]^3 ÷ (2/5)^3 ] }

= [(2/3)^3] × [(3/5)^3 ÷ 8/125]

=(2× 2 × 2)/ (3 × 3× 3) × [(3×3×3)/(5×5×5) × (5×5×5)/ (2×2×2)]

= 1 = RHS

LHS = RHS

Proved

Answer 2

Answer:

LHS = RHS

Thus proved.

Properties used are

$( {a}^{m)n } = {a}^{mn}$

${a}^{ - m} = \frac{1}{ {a}^{m} }$

$\frac{1}{ {a}^{ - m} } = {a}^{m}$

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{b}{a}$