Evaluate-i 6-24-2- 3-2ii 53- 32-170- 73

(i) 6^ 24^ 2× 3^ 2 it can be written as =(1/6)^2(1/4)^2× (1/3)^2 On further calculatioin =1/36(1/16)× (1/9) So we get =(1/36) ÷ (1/144) =(1/36) × (144/1) =4 (i ...

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Byju's Answer

Standard VIII

Mathematics

Numbers in General Form

Evaluate:i 6-...

Question

Evaluate:
(i) $\frac{6^{- 2}}{4^{- 2} \times 3^{- 2}}$
(ii) $5^{3} \times 3^{2} + (17)^{0} \times 7^{3}$

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Solution

(i) $\frac{6^{- 2}}{4^{- 2} \times 3^{- 2}}$
it can be written as
$= \frac{(1 / 6)^{2}}{(1 / 4)^{2} \times (1 / 3)^{2}}$
On further calculatioin
$= \frac{1 / 36}{(1 / 16) \times (1 / 9)}$
So we get
$= (1 / 36) \div (1 / 144)$
$= (1 / 36) \times (144 / 1)$
$= 4$

(ii) $5^{3} \times 3^{2} + (17)^{0} \times 7^{3}$
it can be written as
$= 5 \times 5 \times 5 \times 5 \times 3 \times 3 + (17)^{0} \times 7 \times 7 \times 7$
On further calculation
$= 125 \times 9 + 1 \times 343$
So we get
$= 1125 + 343$
$= 1468$

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Evaluate: (i) 6−24−2×3−2 (ii) 53×32+(17)0×73

(i) 6−24−2×3−2 it can be written as =(1/6)2(1/4)2×(1/3)2 On further calculatioin =1/36(1/16)×(1/9) So we get =(1/36)÷(1/144) =(1/36)×(144/1) =4 (ii) 53×32+(17)0×73 it can be written as =5×5×5×5×3×3+(17)0×7×7×7 On further calculation =125×9+1×343 So we get =1125+343 =1468

Evaluate:
(i) $\frac{6^{- 2}}{4^{- 2} \times 3^{- 2}}$
(ii) $5^{3} \times 3^{2} + (17)^{0} \times 7^{3}$