Exponents | MCQs

Explanation

To evaluate the expression 2^2n + 1, we need to follow the order of operations (PEMDAS):

Calculate the exponent: 2^2n = 2^(2*3) = 2^6

Calculate the value of 2^6: 2^6 = 64

Add 1 to the result: 64 + 1 = 65

Therefore, the correct answer is: 65

Explanation

Explanation

1

x=ya⇒xc=yac
⇒z=yac so zb=yabc=y′
∴abc=1

Explanation

= 2^2 x 3^3 x 2^-5 x 3^-2 x 2^2 

= 4 x 27 x  0.03125 x 0.11 x 4 

= 6

Explanation

Explanation

8^3 × 8^2 × 8^5 = ?

= 512 x 64 x 32768

= 10737

Explanation

Given:

x = 0.3

The expression is:

(x^0.5 ∗ x^0.2 ∗ x^0.3) / x

Using exponent rules:

= x^(0.5 + 0.2 + 0.3) / x

= x^1 / x

= x / x

= 1

Explanation

Step 1: Apply the formula (a - b)² = a² - 2ab + b²

(7 - 9)² = (7)² - 2(7)(9) + (9)²

Step 2: Compare with the given options

The correct expansion is (7)² - 2(7)(9) + (9)².

Explanation

To simplify the expression (3⁸ × 3⁹)¹⁰:

Step 1: Apply the rule of exponents for multiplication.

3⁸ × 3⁹ = 3⁸⁺⁹ = 3¹⁷

Step 2: Apply the power rule of exponents.

(3¹⁷)¹⁰ = 3¹⁷⁰

Explanation

3^3 = 27 and 2^4 = 16.

So, 27 + 16 = 43.