Olympiad Test: Exponents and Powers - 1 - Class 7 MCQ

Since, 27 = 3 × 3 × 3 = 3³
Hence, B is the correct answer.

As we know that 169 = 13 × 13 = 13²
Hence, C will be the correct answer.

Since, 10,000,000 = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10⁷
Hence, C will be the correct answer.

Since we have:
3.1 × 10³, 3 × 10², and 1.1 × 10⁵
3.1 × 10³ = 3.1 × 1000 = 3100
3 × 10² = 3 × 100 = 300
1.1 × 10⁵ = 1.1 × 100000 = 110000

Clearly, 110000 is the greatest number of all.
Hence, C is the correct answer.

Given numbers are 4.1 × 10² and 41 × 10²
4.1 × 10² = 4.1 × 100 = 410
41 × 10² = 41 × 100 = 4100

Clearly, 41 × 10² is greater than 4.1 × 10²
Or we can say 4.1 × 10² is less than 41 × 10².
Hence, B is the correct answer.

As we know that 121 = 11 × 11 = 11²
Hence, B is the correct answer.

Since we have:
3² × 10³ × 30 and 8.1 × 10⁵
⇒ 9 × 1000 × 30 and 8.1 × 100000
⇒ 270000 and 810000

Clearly, 270000 is less than 810000.
Hence, A will be the correct answer.

In 12⁷, 7 is the exponent.
Hence, B is the correct answer.

In 7⁶, 7 is the base and 6 is the exponent.
Hence, D is the correct answer.

2x³
We know the syntax Base^exponent
Hence x is the Base and 3 is the exponent.
Option C is correct.