Respuesta :

MicroDino2007

Answer:

1.   5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5

2.when multiplying a number to a power, you add the powers.

for example 5^3 x 5^8 = 5^11

you can do the same with 2&9, 4&7, 5&6

Step-by-step explanation:

1. the power is eleven so you multiply 5, 11 times

2, sooo yeah

PunIntended

Answer and Step-by-step explanation:

When we have a product of two powers with the same base, the result will be one single power whose exponent is the sum of the two other exponents. For example:

[tex]a^x*a^y=a^{x+y}[/tex]

Here, we want different ways to write [tex]5^{11}[/tex], so just use pairs of numbers that add up to 11 as powers. The following are three different ways:

- [tex]5^2*5^9=5^{2+9}=5^{11}[/tex]

- [tex]5^3*5^8=5^{3+8}=5^{11}[/tex]

- [tex]5^4*5^7=5^{4+7}=5^{11}[/tex]

The reasoning for all three is that the sum of the two powers add up to 11, making them correct.

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