Q. 34.2( 181 Votes )

# Find the value of.

(i)

(ii)

(iii)

(iv)

(v)

Answer :

(i) Formula:

A^{0} = 1

By using above formula in question:

(3^{0} + 4^{-1}) × 2^{2} = (1 + 1/4) × 2^{2}

⇒ (3^{0} + 4^{-1}) × 2^{2} = (5/4) × 4

⇒ (3^{0} + 4^{-1}) × 2^{2} = 5

(ii) Formula:

By using above formula in question:

(2^{-1} × 4^{-1}) ÷ 2^{-2} = (2^{-1} × 2^{-2}) ÷ 2^{-2}

⇒ (2^{-1} × 4^{-1}) ÷ 2^{-2} = (2^{-1 -2}) ÷ 2^{-2}

⇒ (2^{-1} × 4^{-1}) ÷ 2^{-2} = (2^{-3}) ÷ 2^{-2}

⇒ (2^{-1} × 4^{-1}) ÷ 2^{-2} = 2^{-3+2}

⇒ (2^{-1} × 4^{-1}) ÷ 2^{-2} = 2^{-1}= 1/2

(iii) Formula:

By using above formula in question:

(iv) Formula:

By using above formula in question:

Since anything raise to the power 0 = 1

(v) Formula:

By using above formula in question:

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