⇒ ⇒ 5m + 3-2-(-5) = 512⇒ 5m + 3-2 + 5 = 512⇒ 5m + 6 = 512On comparing both sides, m + 6 = 12⇒ m = 12-6⇒ m = 6

Q122 of 196 Page 249

If , find m.

⇒

⇒ 5^{m + 3-2-(-5)} = 5¹²

⇒ 5^{m + 3-2 + 5} = 5¹²

⇒ 5^{m + 6} = 5¹²

On comparing both sides,

m + 6 = 12

⇒ m = 12-6

⇒ m = 6

121

Find the value of n.

123

A new born bear weighs 4 kg. How many kilograms might a five year old bear weigh if its weight increases by the power of 2 in 5 years?

124

The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after

a. 12 hours

b. 24 hours?

125

Planet A is at a distance of 9.35 × 10⁶ km from Earth and planet B is 6.27 × 107 km from Earth. Which planet is nearer to Earth?