Index Laws Quiz: 36 Questions (Grade 10)

36 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the expression $x^{-3}$ .

$\frac{1}{3x}$

$\frac{1}{x^3}$

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of $(x^3)(x^4)$ ?

$x$

$x^7$

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the expression $\frac{x^5}{x^2}$ .

$x^{10}$

$x^3$

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of $x^0$ for any non-zero $x$ ?

$1$

$x$

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the expression $(x^3)^4$ .

$x^{12}$

$x^{3/4}$

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the expression $(2x^3)^2$ .

$4x^6$

$2x^6$

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of $x^{-2}y^{-3}$ ?

$\frac{1}{x^2y^3}$

$\frac{y^3}{x^2}$

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the expression $\frac{x^4}{x^{-3}}$ .

$x$

$x^7$

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of $(xy)^3$ ?

$x^3y^3$

$x^3 + y^3$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify the expression $(2x^2y)^3$ .

$8x^6y^3$

$6x^5y^3$

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Index Laws Quiz

Simplify the expression x−3x^{-3}x−3 .

What is the result of (x3)(x4)(x^3)(x^4)(x3)(x4) ?

Simplify the expression x5x2\frac{x^5}{x^2}x2x5​ .

What is the value of x0x^0x0 for any non-zero xxx ?

Simplify the expression (x3)4(x^3)^4(x3)4 .

Simplify the expression (2x3)2(2x^3)^2(2x3)2 .

What is the simplified form of x−2y−3x^{-2}y^{-3}x−2y−3 ?

Simplify the expression x4x−3\frac{x^4}{x^{-3}}x−3x4​ .

What is the result of (xy)3(xy)^3(xy)3 ?

Simplify the expression (2x2y)3(2x^2y)^3(2x2y)3 .

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Discover more resources for Mathematics

Simplify the expression $x^{-3}$ .

What is the result of $(x^3)(x^4)$ ?

Simplify the expression $\frac{x^5}{x^2}$ .

What is the value of $x^0$ for any non-zero $x$ ?

Simplify the expression $(x^3)^4$ .

Simplify the expression $(2x^3)^2$ .

What is the simplified form of $x^{-2}y^{-3}$ ?

Simplify the expression $\frac{x^4}{x^{-3}}$ .

What is the result of $(xy)^3$ ?

Simplify the expression $(2x^2y)^3$ .