State whether the given statements are True or False.

Simplify and express each of the following in exponential form:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

(x)

(xi)

(xii)

Using laws of exponents simplify and write the answer in exponential form:

(i) 3² × 3⁴ × 3⁸

(ii) 6¹⁵ 6¹⁰

(iii) a³ × a²

(iv) 7^x × 7²

(v) (5²)³ 5³

(vi) 2⁵ × 5⁵

(vii) a⁴ × b⁴

(viii) (3⁴)³

(ix) (2²⁰ 2¹⁵) × 2³

(x) (8^t 8²)

Express each of the following as a product of prime factors only in exponential form:

(i) 108 × 192

(ii) 270

(iii) 729 × 64

(iv) 768

Say true or false and justify your answer:

(i) 10 × 10¹¹ = 100¹¹

(ii) 2³ > 5²

(iii) 2³ × 3² = 6⁵

(iv) 3⁰ = (1000)⁰

Find m so that

If find the value of

State whether the given statements are True or False.

4⁰ + 5⁰ + 6⁰ = (4 + 5 + 6)⁰

State whether the given statements are True or False.

x^m + x^m = x^2m, where x is a non-zero rational number and m is a positive integer.

State whether the given statements are True or False.

State whether the given statements are True or False.

5⁰ × 25⁰ × 125⁰ = (5⁰)⁶