Q99 of 196 Page 249

Find the value of x so that

from the laws of exponents , we know that ,

a^m × aⁿ = a^(m+n)

So , we have , × = =

Now , =

On comparing both the sides , we get ,

-16 = 8x

x = = -2

∴ x = -2

Simplify:

(2⁵ ÷ 2⁸) × 2^–7

Find the value of x so that

(–2)³ × (–2)^–6 = (–2)^2x–1

Find the value of x so that

(2¹ + 4¹ + 6¹ +8¹)^x = 1