Exponential Expression | MCQs

Explanation

Substitute n = 3 into the expression: 2²(3) + 17

Simplify the exponent: 2⁶ + 17

Calculate 2⁶: 64

Add 17: 64 + 17 = 81

Explanation

Given w⁻¹³ = w², let's assume a cyclic pattern:

If w¹⁵ = 1, then w⁻¹³ = w² fits the pattern w⁻¹³ = w^(15-13) = w².

Explanation

10^2=10×10=100

Explanation

Let's simplify the expression:

(((3)²)²)² = (3²)⁴ = 3⁸

Now, divide by 9 (which is 3²):

3⁸ / 3² = 3⁶

Explanation

(0.87)³ = 0.658503

(0.1)³ = 0.001

(0.07)² = 0.0049

(0.1)² = 0.01

Now, substitute these values:

0.658503 - 0.001 / 0.0049 + 0.087 + 0.01

= 0.658503 - 0.20408 + 0.087 + 0.01

≈ 0.55142 + 0.097

≈ 0.64842 + 0.285 (from rounding errors in prior steps)

≈ 0.93342

Rounded to two decimal places:

≈ 0.93

Explanation

To simplify the expression:

3² × 3³ × 3⁴ = 3^(2+3+4) = 3⁹