Exponents | MCQs

Explanation

Any nonzero number raised to the zero power is:

1

This is a fundamental property of exponents:

a⁰ = 1 (where a ≠ 0)

Explanation

To divide the expression, follow the quotient rule:

9y⁴ ÷ 3y² = (9/3) × (y⁴/y²)

Simplify:

3 × y²

So, the correct answer is:

3y²

Explanation

Explanation

5 (as 9^n - 4^n is a difference of two odd powers, which is always divisible by 5)

13 (as 9^n - 4^n can be rewritten as (13-4)^n - 4^n, which is always divisible by 13)

Explanation

To evaluate 2(-7)²:

First, calculate the exponent:

(-7)² = (-7) × (-7) = 49

Now, multiply by 2:

2 × 49 = 98

Explanation

We are given: (-2x)^3

To solve this, we need to cube both -2 and x separately:

(-2)^3 * x^3

Calculating the cube of -2:

(-2) * (-2) * (-2) = -8

So, the expression becomes:

-8 * x^3

Explanation

Note: The answer given in the FPSC answer key is (a) but the actual answer is (b)

To simplify the expression (x^(1/2)) * (x^(-1/2)), we can use the rule of exponents:

x^a * x^b = x^(a+b)

Applying this rule, we get:

(x^(1/2)) * (x^(-1/2)) = x^(1/2 + (-1/2)) = x^0

Any number raised to the power of 0 is equal to 1.

Therefore, (x^(1/2)) * (x^(-1/2)) = 1.

Explanation

(0.7) ^? + 3 = (0.49 x 0.343/0.2401)^4

(0.7)^? + 3 = (0.7)^4

On comparing the exponents both sides, we get

? + 3 = 4

∴ ? = 4 - 3 = 1

Explanation

Explanation