To simplify the given expression, use the Properties of Exponents.
C
c
To simplify the given expression, use the Properties of Exponents.
D
d
To simplify the given expression, use the Properties of Exponents.
A
a
Equivalent.
B
b
Equivalent.
C
c
Equivalent.
D
d
Equivalent.
Practice makes perfect
a
Before we begin, let's call the given expression 12x^6 a basic expression. We want to decide whether the expression given in this part is equivalent to the basic expression. To do this, we will simplify the given expression using the Properties of Exponents. Let's do it!
We can see that now the simplified form of the given expression from this part is exactly the same as the basic expression. Therefore, they are equivalent.
b
We want to decide whether the expression given in this part is equivalent to the basic expression. To do this, we will simplify the given expression using the Properties of Exponents. This time we will begin by using the Product of Powers Property. Let's do it!
We can see that now the simplified form of the given expression from this part is exactly the same as the basic expression. Therefore, they are equivalent.
c
We want to decide whether the expression given in this part is equivalent to the basic expression. To do this, we will simplify the given expression using the Properties of Exponents. This time we will begin by distributing the exponent to the terms in the parentheses. Let's do it!
We can see now that the simplified form of the given expression from this part is exactly the same as the basic expression. Therefore, they are equivalent.
d
We want to decide whether the expression given in this part is equivalent to the basic expression. To do this, we will simplify the given expression using the Properties of Exponents. This time we will use the Quotient of Powers Property. Let's do it!
We can see that now the simplified form of the given expression from this part is exactly the same as the basic expression. Therefore, they are equivalent.
