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:
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