Guys, please help me out. Thanks.
1 answer:
Answer:
w = 13
Step-by-step explanation:
Using the method of cross- multiplying
• =
⇒ ad = bc, thus
42(w + 11) = 28(w + 23) ← distribute parenthesis on both sides
42w + 462 = 28w + 644 ( subtract 28w from both sides )
14w + 462 = 644 ( subtract 462 from both sides )
14w = 182 ( divide both sides by 14 )
w = 13
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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:
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