Year 9 Revision

Year 9 Revision

Indices Part 1

Simplifying Indices

Multiplication

Multiple Choice

Simplify a² x a⁵

• a⁷

• a¹⁰

• a³

Multiple Choice

Simplify 5¹⁰ x 5⁷

• 5⁷⁰

• 5¹⁷

• 5³

Multiple Choice

Simplify b⁴ x b³ x b⁶

• b¹³

• b⁶⁰

• b⁷²

More Multiplication

When you have whole numbers, multiply them together. Then add the powers like before.

Multiple Choice

Simplify 6a² x 3a⁴

• 18a⁸

• 9a⁶

• 18a⁶

Multiple Choice

Simplify 5b⁴ x 2b³

• 10b⁷

• 7b⁷

• 10b¹²

Multiple Choice

Simplify 7y⁶ x 3y⁵

• 10y¹¹

• 21y¹¹

• 21y³⁰

Indices in Brackets

Multiply the powers

Multiple Choice

Simplify (y²)³

• y⁵

• y⁶

Multiple Choice

Simplify (a⁴)⁵

• a²⁰

• a⁹

Multiple Choice

Simplify (b⁶)²

• b¹²

• b⁸

Brackets and Numbers

Work out the whole numbers to the power outside the brackets. Multiply the powers like before.

Multiple Choice

Simplify (3a⁵)²

• 6a¹⁰

• 9a¹⁰

• 3a¹⁰

Multiple Choice

Simplify (5b⁴)²

• 10b⁸

• 25b¹⁶

• 25b⁸

Multiple Choice

Simplify (4y³)²

• 16y⁶

• 8y⁵

• 8y⁶

Division

Subtract the powers

Multiple Choice

Simplify  $a^6\div a^4$  

•  $a^2$  

•  $a^{10}$  

•  $a^8$  

Multiple Choice

Simplify   $b^{15\ }\div b^{10}$  

•  $b^{25}$  

•  $b^5$  

•  $b^{150}$  

Multiple Choice

Simplify $y^{20}\div y^{13}$  

•  $y^{260}$  

•  $y^{33}$  

•  $y^7$  

Dividing with numbers

Divide the whole numbers. Subtract the powers like before

Multiple Choice

 $12a^7\div4a^5$  

Simplify

•  $3a^2$  

•  $8a^2$  

•  $3a^{12}$  

Multiple Choice

 $20b^{10}\div5b^9$  

Simplify

•  $15b^1$  

•  $4b^1$  

•  $4b^{19}$  

Multiple Choice

 $36y^7\div9y^2$  

Simplify

•  $4y^9$  

•  $27y^2$  

•  $4y^5$  

Try the following

Mixed questions

Open Ended

Simplify $x^4\times x^9$  

Open Ended

Simplify  $5x^7\times4x^2$  

Open Ended

Simplify $\left(x^5\right)^3$  

Open Ended

Simplify $\left(6x^3\right)^2$  

Open Ended

Simplify $x^{10}\div x^7$  

Open Ended

Simplify $18x^9\div2x^7$