Exponents | MCQs

Explanation

The Base is the one or the number that is repeatedly multiplied by itself. -6 is the base, and the 5 is the exponent.

Explanation

(7^a) (7^b) = (7^c) (7^d)

Using the property of exponents, we get:

7^(a+b) = 7^(c+d)

Equating the exponents, we get:

a + b = c + d

Rearranging the terms, we get:

d = a + b - c

Explanation

Any non-zero number raised to the power of 0 equals 1.

So, 10⁰ = 1.

Explanation

Explanation

The notation n√x^m can be rewritten in power form as:

(x^m)^(1/n) = x^(m/n)

Explanation

Given the expression:

[(2/13)⁶ + (2/13)³]³ × (2/13)^-⁹

Let's simplify:

= [(2/13)³((2/13)³ + 1)]³ × (2/13)^-⁹

= (2/13)⁹[(2/13)³ + 1]³ × (2/13)^-⁹

The (2/13)⁹ and (2/13)^-⁹ cancel out:

= [(2/13)³ + 1]³

Given the result is 1, let's assume:

[(2/13)³ + 1]³ = 1

Explanation

8.73³ = 665.6

4.27³ = 171.4

Total = 665.6 + 171.4 = 837.0

Explanation

To write 50700 in scientific notation, move the decimal point to the left until you have a number between 1 and 10:

50700 → 5.07 × 10⁴

Explanation

The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both.

Since (a - b)^4 and (a - b)^3 are both powers of (a - b), their LCM is the highest power of (a - b) between them:

LCM = (a - b)^4

Explanation

A polynomial consists of terms with variables raised to whole number exponents (0, 1, 2, 3, etc.).

If an exponent is a fraction, negative, or irrational, the expression is not a polynomial.