Answer:
Its base is 7
Step-by-step explanation:
6 x 7 = 42
42 ÷ 2 = 21
The base is 7
First step, write down the expression on one line, using necessary parentheses.
(2^8*5^(-5)*19^0)^(-2) * (5^(-2)/2^3)^4 *2^28
The apply the PEMDAS rule to simplify according to priority:
1. Parentheses
2. Exponentiation
3. Multiplication and Division (left to right)
4. Addition and Subtraction (left to right)
For exponentiation, it is convenient to convert all negative exponents to positive by taking the reciprocal, for example,
a^(-2)= 1/(a^2)
So
(2^8*5^(-5)*19^0)^(-2) * (5^(-2)/2^3)^4 *2^28
=1/[(2^8*5^(-5)*19^0)^(2)] * (1/[5^2*2^3])^4 *2^28
=5^5/[(2^8*19^0)^(2)] * (1/[5^2*2^3])^4 *2^28
Remember positive numbers raised to power zero equals 1, e.g.
a^0=a for any number a.
so 19^0=1
=5^10/[(2^8)^(2)] * (1/[5^2*2^3])^4 *2^28
Now, powers raised to a power equals the product of the powers, e.g.
(2^8)^2=2^16, (5^2)^4=5^8, (2^3)^4=2^12...
continuing,
=5^10/[2^16] * 1/[5^8*2^12] *2^28
When we have exponents to the same base in the denominator and numerator, we subtract exponents, e.g.
5^5/5^8=5^(5-8)=5^(-3), 2^28/[2^16*2^12]=2^(28-16-12)=2^0=1
so we get rid of many terms this way
continuing
=5^(10-8)*2^(28-16-12)
=5^2*2^0
=25*1
=25
Answer:
- NR
- PQ
- JM
- KL
Step-by-step explanation:
Remember, the question ask for perpendicular segments, not perpendicular planes. Any segment that intersect with plane JKPN and create 90˚ angles are perpendicular.
Answer:
4,3 difference
Step-by-step explanation:
|-5,-5|=5,5
|-9,-2|=9,2
9-5=4
5-2=3
4,3 difference
Answer:
The value of x = 33 units (Approx.)
Step-by-step explanation:
Given triangle is a right angle triangle;
So,
Base of triangle = 18 unit
Angle with base = 57°
Find:
The value of x
Computation:
Using trigonometry function;
Cosθ = Base of triangle / Hypotenuse triangle
Cos57 = 18 / x
0.544 = 18 / x
The value of x = 18 / 0.544
The value of x = 33.088
The value of x = 33 units (Approx.)
