Ch – 12 Exponents & Powers

Q.1: Express:

a) 2187 as a power of 3

b) 625 as a power of 5

c) 1024 as a power of 4

Q.2: Find the multiplicative inverse of the following:

a) 4 ^(-2)

b) 3 ^(-3)

c) 11 ^(-10)

Q.3: Simplify and express the result in power notation with positive exponent:

a) p¹¹ x p^(-5)

b) 4^(-3) x 4^(-4)

c) (-3)⁶ x (-3) ^(-6)

Q.4: Find the value of:

a) (-3)⁰ + (-100)⁰

b) 2^(-3) x 2^(-4) + 7⁰

c) (1/4)^(-2) + (1/3)^(-2)

Q.5: Find the value of m:

a) 6^m x 6^(-2) = 6⁵

b) 11¹⁰ / 11^m = 11⁴

Q.6: Write the following numbers in standard form:

a) 162200000

b) 3136000

c) 0.00036

Q.7: Express the following numbers in usual form:

a) 4.4445 x 10⁸

b) 3.36 x 10⁶

c) 45.8 x 10^(-5)