Quiz about FA Indices and Standard Form

Question 1

If 100² x 100⁵ = 100^y, y = ?

Accepted Answer

7

Answer

1

Answer

2

Answer

1.5

Question 2

Solve 12a⁸ / 3a²

Accepted Answer

4a4

Answer

3a4

Answer

3a6

Answer

4a6

Question 3

Simplify (2ab³ / 3m²)³

Accepted Answer

(8a³b⁹)/(27m⁶)

Answer

(2a³b⁶)/(3m⁵)

Answer

(2a³b⁹)/(3m⁶)

Answer

(8a⁴b⁶)/(27m⁵)

Question 4

2*3*3*3*2*5*6 most simplified form of the given expression is

Accepted Answer

2³ *3⁴ *5¹

Answer

2³ *3³ * 5¹

Answer

2² * 3³ * 5¹

Answer

2⁴ *3³ *5¹

Question 5

Find the value of n, when 3ⁿ = 243

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 6

If p⁵/p² = 64 then value of p=__

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 7

How else can you write $$\sqrt{x}$$ ?

Accepted Answer

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

Answer

$$x^2$$

Answer

$$x^{-2}$$

Answer

$$x^{\frac{1}{4}}$$

Question 8

How else could you write $$4^{-2}$$ ?

Accepted Answer

$$\frac{1}{16}$$

Answer

$$16$$

Answer

$$-16$$

Answer

$$-\frac{1}{16}$$

Question 9

Find $$b^{10}\div b^2$$

Accepted Answer

$$b^8$$

Answer

$$b^5$$

Answer

$$b^{12}$$

Answer

$$b^{20}$$

Question 10

$$\frac{y^5}{y^{-3} imes y^2}$$

Accepted Answer

$$y^6$$

Answer

$$y^4$$

Answer

$$y^5$$

Answer

$$6y$$

Question 11

Solve for x in $$\left(3^{2x} ight)^3=3^4 imes3^8$$

Accepted Answer

2

Answer

3

Answer

$$\frac{1}{2}$$

Answer

$$-\frac{2}{3}$$

Question 12

Simplify $$\frac{64^{2y}\ \div16^{y\ }}{128^y imes4^{2y}}$$

Accepted Answer

$$2^{-3y}$$

Answer

$$2^{3y}$$

Answer

$$2^{-5y}$$

Answer

$$2\ -\ 3y$$

Question 13

Evaluate

Accepted Answer

9

Answer

3

Answer

18

Answer

6

Question 14

$$\frac{2}{x^3}=?$$

Accepted Answer

$$2x^{-3}$$

Answer

$$2x^3$$

Answer

$$8x^3$$

Answer

$$8x^{-3}$$

Question 15

Question 15.

Accepted Answer

y6

Answer

y4

Answer

y5

Answer

6y

Question 16

Question 16.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 17

Write the following term in the form $ax^n$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

Write the following term in the form $ax^n$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 19

Write the following term in the form $ax^n$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 20

True or False:

When writing

a number in standard form,

the first number must be

greater than 1 but less than 10.

Accepted Answer

TRUE

Answer

FALSE

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