Quiz about 1.1 Index Notation-Part 1

Question 1

State the base and index for following number.

$$\left(-\frac{3}{4}\right)^2$$

Accepted Answer

Base = $$\left(-\frac{3}{4}\right)$$

Index = 2

Answer

Base = $$\left(\frac{3}{4}\right)$$

Index = 2

Answer

Base = 2

Index = $$\left(\frac{3}{4}\right)$$

Answer

Base = 2

Index = $$\left(-\frac{3}{4}\right)$$

Question 2

State the base and index for the following algebraic term.

$$\left(-\frac{1}{m}\right)^n$$

Accepted Answer

Base = $$\left(-\frac{1}{m}\right)$$ Index = n

Answer

Base = n

Index = $$\left(\frac{1}{m}\right)$$

Answer

Base = n

Index = $$\left(-\frac{1}{m}\right)$$

Answer

Base = $$\left(\frac{1}{m}\right)$$

Index = n

Question 3

Write the following repeated multiplication in index form.

$$-b imes-b imes-b imes-b$$

Accepted Answer

$$\left(-b\right)^4$$

Answer

$$\left(-4\right)^b$$

Answer

$$b^4$$

Answer

$$-b^4$$

Question 4

State the following repeated multiplication in index form.

$$0.25 imes0.25 imes0.25 imes0.25 imes0.25 imes0.25$$

Accepted Answer

$$0.25^6$$

Answer

$$6^{0.25}$$

Answer

$$0.25^5$$

Answer

$$\left(-0.25\right)^6$$

Question 5

Convert the number in index form into repeated multiplication.

$$\left(2\frac{5}{7}\right)^4$$

Accepted Answer

$$\left(2\frac{5}{7} ight) imes\left(2\frac{5}{7} ight) imes\left(2\frac{5}{7} ight) imes\left(2\frac{5}{7} ight)$$

Answer

$$\left(2\frac{5}{7} ight) imes\left(2\frac{5}{7} ight) imes\left(2\frac{5}{7} ight) imes\left(2\frac{5}{7} ight) imes\left(2\frac{5}{7} ight)$$

Answer

$$\left(\frac{5}{7} ight) imes\left(\frac{5}{7} ight) imes\left(\frac{5}{7} ight) imes\left(\frac{5}{7} ight)$$

Answer

$$2 imes2 imes2 imes2$$

Question 6

Convert the following algebraic term in index form into repeated multiplication.

$$\left(4y\right)^3$$

Accepted Answer

$$4y imes4y imes4y$$

Answer

$$3y imes3y imes3y imes3y$$

Answer

$$4 imes y imes y imes y$$

Answer

$$4y imes4y imes4y imes4y$$

Question 7

Write the following number in index form using the stated base in brackets.

$$-\frac{125}{512},\ \left[-\frac{5}{8}\right]$$

Accepted Answer

$$\left(-\frac{5}{8}\right)^3$$

Answer

$$-\frac{5}{8}^{\ 3}$$

Answer

$$\left(-\frac{5}{8}\right)^4$$

Answer

$$-\left(\frac{5}{8}\right)^3$$

Question 8

Calculate the value of following index form.

$$1.3^4$$

Accepted Answer

2.8561

Answer

$$1.3 imes1.3 imes1.3 imes1.3$$

Answer

2.197

Answer

3.71293

Question 9

Calculate the value of following index form.

$$\left(1\frac{2}{3}\right)^3$$

Accepted Answer

$$\frac{125}{27}$$

Answer

$$3\frac{6}{9}$$

Answer

$$3\frac{8}{27}$$

Answer

$$\frac{27}{125}$$

Question 10

Write the following number in index form using the stated base in brackets.

$$65536,\ \left[4\right]$$

Accepted Answer

$$4^8$$

Answer

$$4^7$$

Answer

$$4^9$$

Answer

$$4^{10}$$

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