Simplify:22 × 33 × 24 × 35 × 36.

Since there are two bases so their powers can be separately added.22 × 33 × 24 × 35 × 36 = 2(2 + 4) × 3(3 + 5 + 6)⇒ 22 × 33 × 24 × 35 × 36 = 26 × 314

Q1 of 53 Page 28

Simplify:
2² × 3³ × 2⁴ × 3⁵ × 3⁶.

Since there are two bases so their powers can be separately added.

2² × 3³ × 2⁴ × 3⁵ × 3⁶ = 2^{(2 + 4)} × 3^{(3 + 5 + 6)}

⇒ 2² × 3³ × 2⁴ × 3⁵ × 3⁶ = 2⁶ × 3¹⁴

Find the value of (−0.2)^-4

Simplify:

3¹ × 3² × 3³ × 3⁴ × 3⁵ × 3⁶ .

How many zeros are there in 10⁴ × 10³ × 10² × 10?

Which is larger: (5³ × 5⁴ × 5⁵ × 5⁶) or (5⁷ × 5⁸)?

Questions · 53

10. Exponents

1 1 1 2 2 2 3 1 1 2 3 1 1 2 3 4 1 1 2 3 1 1 1 2 3 1 1 1 2 3 1 1 1 2 3 4 4 4 1 1 1 1 1 2 3 3 3 4 5 6 7 8 9