Answer:
4m(4m-3)
Step-by-step explanation:
Factor 4m out of the statement because 4 is a factor of both 16 and -12, and m is a factor in m^2 and m.
<h3>
Fraction of square tiles = 
</h3><h3>
Fraction of rectangle tiles = 
</h3>
Step-by-step explanation:
Total number of tiles to be used in the kitchen = 100
The total number of square tiles = 34
The total number of rectangle tiles = 16
Now, calculating the total fraction of square tiles:
The fraction of square tiles = 
Also, solving the fraction, we get 
So, the decimal value of square tiles = 0.6
Calculating the total fraction of rectangle tiles:
The fraction of rectangle tiles = 
Also, solving the fraction, we get 
So, the decimal value of rectangle tiles = 0.34
6b+4=2 has one variable
4+6=10 has no variable
Answer:
16. D
17. 5^-1 · 5^-1 and 25^-1
8^0 · 8^3 and 8^3
Step-by-step explanation:
When you multiply two same numbers with exponents, just think of it as adding up exponents.
When you divide two same numbers with exponents, just think of it as subtracting exponents.
If a parenthesis has an exponent outside, then every exponent inside the parenthesis will be multiplied by that outside parenthesis.
(5^-1)^-2 · 5^3 ÷ 5^7
5^2 · 5^3 ÷ 5^7
5^5 ÷ 5^7
5^-2
When exponents are negative, you have to flip them or put them on the other side
5^-2 = 1/5^2 = 1/25
Let's try to find the equivalent pairs
6^7 ÷ 6^-2 = 6^5
6^9 = 6^5 Not equivalent
(6^3)^0 = 6
6^0 = 1 (Any number with a zero exponent is always 1)
1 = 6 Not equivalent
5^-1 · 5^-1 = 25^-1
5^-2 = 25^-1
Flip em
1/5^2 = 1/25
1/25 = 1/25 Equivalent
8^0 · 8^3 = 8^3
8^3 = 8^3 Equivalent
4^-3 ÷ 4^2 = 4^5
4^-5 = 4^5 Not equivalent
