Question

I need help solving these

Answer 1

1. 1. Vocabulary  What does the exponent in the expression $5^{6}$ tell you?

Answer: it means that $5$ is multiplied by itself $6$ times: $5^{6} =5*5*5*5*5*5=15625$

1. 2. $4*4=4^{2}=16$

The power is $2$ or square, notice how the geometric model is made out of dots forming a flat square.

1. 3. $2*2*2*2=2^{3} =8$

The power is $3$ or cube, notice how the geometric model is a cube.

1. 4. $9*9=9^{2}=81$

The power is $2$ or square, notice how the geometric model is a flat square.

2. 5. $7^{2} =49$

2. 6. $(-2)^{4} = -2*-2*-2*-2=4*4=16$

2. 7. $(-2)^{5} =16*-2=-32$

2. 8. $-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}$

3. 9. $81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}$

3. 10. $100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,$

         $10*10*10*10*10=10^{5}$

3. 11. $-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}$

3. 12. $10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}$

3. 13. $81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}$

3. 14. $36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}$

4. 15. Technology First week => $3$ hits, every week => the number of hits triples, means $3^{3}$, 5th week => hits every week * 5 = $3^{3}*5=27*5=135$ hits.

I apologize if there's any misspelling or wrong answer.