Which expressions are equivalent to 5^{12}\cdot 5^85
12
⋅5
8
5, start superscript, 12, end superscript, dot, 5, start superscript, 8, end superscript

Respuesta :

Answer:

start fraction, 5, dot, x, start superscript, 3, end superscript, divided by, x, start superscript, 2, end superscript, end fraction

for

x=2x=2

x=2

x, equals, 2

The given expression 5, start superscript, 12, end superscript, dot, 5, start superscript, 8, end superscript equivalent to the 5 start superscript 97 end superscript.

We have given that

[tex]5^{12}\cdot5^{85}[/tex]

We have to find the equivalent expression

Here we use the exponent rule:

Which exponent rule we use here?

[tex]a^b\cdot a^c=a^{b+c}\\[/tex]

here base is the same of both the number

If base are same then we can add the exponent

Therefore,In a given expression base is 5 therefore the

[tex]5^{12}\cdot5^{85}=5^{12+25}\\5^{12}\cdot5^{85}=5^{97}[/tex]

Therefore the given expression [tex]5^{12}\cdot5^{85}[/tex]equivalent to the [tex]5^{97}[/tex].

To learn more about the exponent visit:

https://brainly.com/question/2456547