4 Simplify. Rewrite the expression in the form b". 610 66 -
1 answer:
Applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
<h3>What is the Division Rule of Exponents?</h3>The division rule of exponents state that if we have a numerator and a denominator with the same base, the quotient will be the base, while we subtract the exponent value of the denominator from the exponent value of the numerator.
For example, if we have, a³/a², the division rule of exponents states that:
a^(3 - 2) = a^1 = a.
Given the expression, 6^10/6^6, we can rewrite the expression in the form of b^n by applying the division rule of exponents as shown below:
6^10/6^6 = 6^(10 - 6)
6^10/6^6 = 6^4
In conclusion, applying the division rule of exponents, 6^10/6^6 can be rewritten in the form of b^n as: 6^10/6^6 = 6^4.
Learn more about the division rule of exponents on:
#SPJ1
You might be interested in
Answer:
[/tex]
Step-by-step explanation:
1.
2. <em>factoring 96</em>
<em>since </em>
3.
<em>using exponent rule - </em>
<em> </em>
4.
<em>doing some simple simplification and and 6=2*3</em>
5.
<em>collecting the roots on one side and applying exponent rule</em>
6.
<em>Applying exponents rule on all and
</em>
<em>7. </em>
<em>combining all powers of 2</em>
8.
<em>Simplifying</em>
9.
10.
11.