41.8k views
10 votes
Please answer! I crossed out the ones you don’t have to complete.

Please answer! I crossed out the ones you don’t have to complete.-example-1
User Alfreda
by
9.1k points

1 Answer

9 votes

Answer:

1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
\mathbf{5^3a^2b^4c}

5.
x^-6 = (1)/(x^6)

6.
5^(-3).3^(-1)=(1)/(5^3.3^1)

7.
a^(-3)b^0c^4=(c^4)/(a^3)

Explanation:

Question 1:

We need to rewrite the expression using exponents

5.a.b.b.5.c.a.b.5.b

We will first combine the like terms

5.5.5.a.a.b.b.b.b.c

Now, if we have 5.5.5 we can write it in exponent as:
=5^(1+1+1)=5^3

a.a as
a^(1+1)=a^2

b.b.b.b as:
b^(1+1+1+1)=b^4

So, our result will be:


5^3a^2b^4c

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
\mathbf{5^3a^2b^4c}

Question:

Rewrite using positive exponent:

The rule used here will be:
a^(-1)=(1)/(a^1) which states that if we need to make exponent positive, we will take it to the denominator.

Applying thee above rule for getting the answers:

5)
x^(-6) = (1)/(x^6)

6)
5^(-3).3^(-1)=(1)/(5^3.3^1)

7)
a^(-3)b^0c^4=(b^0c^4)/(a^3)

We know that
b^0=1 so, we get


a^(-3)b^0c^4=(b^0c^4)/(a^3)=(c^4)/(a^3)

User Antho Christen
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories