Exponents And Powers Test

Result

Exponents And Powers Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

3³ + 3³ + 3³ + 3³ + 3³is equal to

A
115

B
125

C
135

D
145

Solution

3³ + 3³ + 3³ + 3³ + 3³
= 5 x 3³
= 5 x 27
= 135
Question 2
1 / -0

What is the value of (3° + 5° + 4° × 3°) × 2²?

A
4

B
10

C
12

D
80

Solution

(3° + 5° + 4° × 3°) × 2²
Using the law of exponents: (x)° = 1

= [1 + 1 + 1 × 1] × 2²

⇒ 3 × 4 = 12
Question 3
1 / -0

What is the value of 'x' if 10⁵ × 10^-3 = 10x?

A
8

B
2

C
-2

D
-15

Solution

10⁵ × 10^-3 = 10^x

Adding the exponents, we get
10^{5 + (-3)} = 10^x
(10)² = (10)^x

As the bases are the same, the powers will be equal.
So, x = 2