Respuesta :

3 x 3 = 9, 3 x 3 = 9, 9 x 9 = 81
A is 81

7 x 7 x 7 x 7 = 2,401
2,401 x 7 = 16,807
B is 16,807

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

1000000000/ 10000000 = 100

C is 100

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
390,625/ 5 = 78125
D is 78,125

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]

(b)

7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]

c)

[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²

(d)

[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]

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