Respuesta :

Step-by-step explanation:

Using the power law of indices:

When two numbers with the same base multiply,add the exponents that is

[tex] {a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5} [/tex]

Again,when two numbers with the same base divide, subtract the exponents,that is

[tex] {a}^{2} \div {a}^{4 } = {a}^{2 - 4} = {a}^{ - 2} [/tex]

There are way too many examples that is why I have elaborated the two laws for your perusal.

So for instance:

1.

[tex] {2}^{2} \times {2}^{5} = {2}^{7} [/tex]

Answer:

2² × 2⁵ = 2⁷

            = 128

4⁴ × 4⁶ = 4¹⁰

           = 1048576

6² × 6⁷ = 6⁹

           = 10077696

9⁸ × 9⁸ = 9¹⁷

           = 1.6677182e+16

Do try the rest out yourself!!! You can do it!!!

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