The rule for multiplying similar bases with exponents:
(a^b)(a^c)=a^(b+c)
In this case we have:
(5^-2)(5^-1)
5^(-2-1)
5^(-3)
The rule for negative exponents:
a^(-b)=1/(a^b)
So in this case:
5^(-3) is equal to
1/(5^3)
1/125
The value of n is 11.
<u>Step-by-step explanation</u>:
The given expression is (n-9) ÷ 10 = -2
<u>To find the value of n</u> :
- From the expression, it is determined that (n-9) is the numerator and 10 is the denominator.
- Cross multiply the denominator in the left side of the expression to the another side.
The expression becomes (n-9) = (10
-2).
⇒ n-9 = -20
Keep the n term on one side and the constants on other side.
⇒ n = -20+9
⇒ n = -11
Therefore, the value of n is 11.
Answer:
Step-by-step explanation:
You would do this question like this.
4 meats * 2 cheeses * x breads = 24 different kinds of sandwiches.
8x = 24
8x/8 = 24/8
x = 3
There are 3 different kinds of breads.
First you take 15 and divide it by 5. That leaves you with 3. You also need to decide the x’s so you subtract the exponents (2-3=-1)
so you now have (y^10z^7)/(y^4z^10)3x^-1
Next we will divide the y’s.
Again, subtract the exponents (10-4=6) to get y^6
Now we have (3x^-1)(y^6) (z^7/z^10)
Last is z, we subtract the exponents again (7-10=-3) and get z^-3
Our answer is (3x^-1)(y^6)(z^-3)
It is b. 48 because f(x) is 3
