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Laws of Indices (SP4.2)

Authored by DESIKAN Moe

Mathematics

11th Grade

CCSS covered

Used 1K+ times

Laws of Indices (SP4.2)
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve     4a−1=8a+34^{a-1}=8^{a+3}  .

 a=−11a=-11  

 a=−4a=-4  

 a=4a=4  

 a=11a=11  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve   3a+3−3a+2=2   3^{a+3}-3^{a+2}=2\ \ \  .

 a=−2a=-2  

 a=12a=\frac{1}{2}  

 a=2a=2  

No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve   3a−2×27a=1813^{a-2}\times27^a=\frac{1}{81}  .

 a=−2a=-2  

 a=12a=\frac{1}{2}  

 a=2a=2  

 a=−12a=-\frac{1}{2}  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve   23a−5=14a+12^{3a-5}=\frac{1}{4^{a+1}}  .

 a=35a=\frac{3}{5}  

 a=53a=\frac{5}{3}  

 a=−53a=-\frac{5}{3}  

 a=−35a=-\frac{3}{5}  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve   2÷4a−1=162a2\div4^{a-1}=16^{2a}  .

 a=310a=\frac{3}{10}  

 a=103a=\frac{10}{3}  

 a=−103a=-\frac{10}{3}  

 a=−310a=-\frac{3}{10}  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve   4x+3−4x+2=34^{x+3}-4^{x+2}=3  .

 x=−2x=-2  

 x=2x=2  

 x=−12x=-\frac{1}{2}  

 x=12x=\frac{1}{2}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve   25x+2=1625x25^{x+2}=\frac{1}{625^x}  .

 x=−23x=-\frac{2}{3}  

 x=23x=\frac{2}{3}  

 x=−32x=-\frac{3}{2}  

 x=32x=\frac{3}{2}  

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