Match the exponent form to the correct standard form
Column A
3
4
5.
214
812
2N(-3)
(-4)^2
(213) x (3^2)
(4/5112
(2/3)13
Column B
a, 16/25
b. 1/8
c. 77
d16
64
f
8/27
To match the exponent form to the correct standard form, we will need to simplify the expressions in column A using the rules of exponents, and then compare them with the options in column B to find the corresponding match.
Let's simplify the expressions in column A one by one:
1. 3
This expression is already in standard form. The match in column B is a.
2. 4
This expression is also in standard form. The match in column B is d.
3. 5
This expression is in exponent form. To convert it to standard form, we can rewrite it as 10^5. The match in column B is c.
4. 214
This expression is already in standard form. The match in column B is c.
5. 812
This expression is already in standard form. The match in column B is f.
6. 2N(-3)
This expression is in exponent form. To simplify it, we can use the rule that states N^(-n) = 1/N^n. So, 2N(-3) becomes 2/N^3. The match in column B is not available.
7. (-4)^2
This expression is in exponent form. To simplify it, we can evaluate the exponent. (-4)^2 equals (-4)(-4) = 16. The match in column B is b.
8. (213) x (3^2)
This expression is in exponent form. We can simplify it by evaluating the exponent first: 3^2 = 9. Then, we multiply 213 by 9 to get 1917. The match in column B is not available.
9. (4/5)^112
This expression is in exponent form. To simplify it, we use the rule that states (a/b)^n = a^n/b^n. Therefore, (4/5)^112 becomes 4^112/5^112. The match in column B is not available.
10. (2/3)^13
This expression is in exponent form. To simplify it, we can use the rule that states (a/b)^n = a^n/b^n. Therefore, (2/3)^13 becomes 2^13/3^13. The match in column B is not available.
After simplifying all the expressions in column A, we have:
a. 16/25
b. 1/8
c. 77 (matches with both expressions 5 and 214)
d. 16
f. 8/27
Since expressions 5 and 214 both match with c in column B, we will have two matches in column B for those expressions.