Question

Simplify: (i) {3/2} ^0 × {4/5}^-2
(ii) 3^0 + 2^-2​

Answer 1

Step-by-step explanation:

(i) {3/2} ^0 × {4/5}^-2

= 1×(5/4)^2

= 1× 25/16

= 25/16

(ii) 3^0 + 2^-2

= 1+ (1/2)^2

= 1+1/4

= 4+1/4

= 5/4

hope it is helpful to you

Answer 2

Solution:-

${( \frac{3}{2}) }^{0} \times { (\frac{4}{5}) }^{ - 2}$

$1 \times { (\frac{5}{4}) }^{2}$

$\frac{ ({5})^{2} }{ ({4})^{2} }$

$\Large{\red{\frac{25}{16} }}$

__________________________

$({3})^{0} \times ({2})^{ - 2}$

$1 + { (\frac{1}{2}) }^{ 2}$

$1+ \frac{1}{ {2}^{2} }$

$\frac{4+1}{4}$

$\Large{\red{\frac{5}{4}}}$

• $\boxed{\pink{\sf{a⁰ = 1}}}$

• $\boxed{\green{\sf{a^{-1} = \frac{1}{a^{1}}}}}$

$\Large{✓}$

Hope It Helps You ✌️