Respuesta :

Answer:

10^5 * 10^2 = 10^7

Step-by-step explanation:

The rule of multiplying exponents: a^b * a^c =a^(b+c)

Reason:

Expand the equation:

10 * 10 * 10 * 10 * 10 * (?) = 10 * 10 * 10 * 10 * 10 * 10 * 10

There are 5 10s on the left and 7 10s on the right.

To make the equation balanced, you need to add two 10s on the left, thus 10^2.

PoeticAesthetics

[tex]10^{5} * 10^{2}= 10^{7}[/tex]

According to the product property of exponents rule when you are multiplying number with exponents that have the same base (in this case both bases are 10), then you will simply add the exponents together.

[tex]a^{m} *a^{n} = a^{m+n}[/tex]

^^^Generally this is how this rule is shown

[tex]10^{5} *10^{2} = 10^{5+2} = 10^{7}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes