1. 1. Vocabulary What does the exponent in the expression [tex]5^{6}[/tex] tell you?
Answer: it means that [tex]5[/tex] is multiplied by itself [tex]6[/tex] times: [tex]5^{6} =5*5*5*5*5*5=15625[/tex]
1. 2. [tex]4*4=4^{2}=16[/tex]
The power is [tex]2[/tex] or square, notice how the geometric model is made out of dots forming a flat square.
1. 3. [tex]2*2*2*2=2^{3} =8[/tex]
The power is [tex]3[/tex] or cube, notice how the geometric model is a cube.
1. 4. [tex]9*9=9^{2}=81[/tex]
The power is [tex]2[/tex] or square, notice how the geometric model is a flat square.
2. 5. [tex]7^{2} =49[/tex]
2. 6. [tex](-2)^{4} = -2*-2*-2*-2=4*4=16[/tex]
2. 7. [tex](-2)^{5} =16*-2=-32[/tex]
2. 8. [tex]-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}[/tex]
3. 9. [tex]81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}[/tex]
3. 10. [tex]100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,[/tex]
[tex]10*10*10*10*10=10^{5}[/tex]
3. 11. [tex]-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}[/tex]
3. 12. [tex]10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}[/tex]
3. 13. [tex]81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}[/tex]
3. 14. [tex]36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}[/tex]
4. 15. Technology First week => [tex]3[/tex] hits, every week => the number of hits triples, means [tex]3^{3}[/tex], 5th week => hits every week * 5 = [tex]3^{3}*5=27*5=135[/tex] hits.
I apologize if there's any misspelling or wrong answer.
