9th Cr.B Index Laws #1

9th Criterion.B

Index Laws

By Lester Orellana

​Observe the next worked examples:

​

1) x² + x² + 4x² = ​(1+1+4)x² = 6x²

​

2) 3x⁴​ + 5x⁴ = (3+5)x⁴ = 8x⁴

​

3) 3x² + 2x³ + 7x² = (3+7)x² +2x³ = 10x² + 2x³​

Multiple Choice

Choose the correct answer for:

4x⁵ + x⁵ + 2x²=

• 5x⁵

• 2x² + 5x⁵

• 7x⁵

• 7x⁵ + 2x²

​1) x² + x² + 4x² = ​6x²​

2) 3x⁴​ + 5x⁴ = 8x⁴​

3) 3x² + 2x³ + 7x² = 10x² + 2x³​

​

General Rule:​

​bx^m + cx^m = (b + c)x^m

If base and exponents are the same then add the coefficients.​

​Observe the next worked examples:

​

1) x² ×​ x³ = x⁽²⁺³⁾ = x⁵

​

2) 5x² ×​ 2x³ = (5 • 2)x⁽²⁺³⁾ = 10x⁵

​

3) 2x⁴ × 5x ×​ x = (2 • 5 • 1)x^(4+1+1) = 10x⁶

Multiple Choice

Choose the correct answer for:

x³ × 5x² =

• 5x⁵

• 5x⁶

• 6x⁶

• 6x⁵

Multiple Choice

Choose the correct answer for:

x³ × 5x² ×​ 2x =

• 10x⁶

• 10x⁵

• 11x⁶

• 11x⁵

Multiple Choice

What would be one of the general rules seen on slides 6 to 8?

• $$a^m\cdot a^{n\ }=a^{\left(m+n\right)}$$  

• $$a^m\cdot a^{n\ }=a^{\left(m\cdot n\right)}$$  

• $$a^m+a^{n\ }=a^{\left(m+n\right)}$$  

• $$a^m+a^{n\ }=a^{\left(m\cdot n\right)}$$  

Multiple Choice

What would be one of the general rules seen on slides 6 to 8?

• In multiplication if the base is the same, just add the exponents.

• In multiplication if the base is the same, just multiply the exponents.

• In multiplication if the base is the same, just keep the exponents.

End of Assignment