Given:
p^(a - b) × p^(b - c) × p^(c - a)
Using the property of exponents that states a^(m) × a^(n) = a^(m + n), we can simplify:
p^(a - b + b - c + c - a)
= p^(0)
= 1
To evaluate the expression:
Log₁₀ √10
First, rewrite the square root as an exponent:
√10 = 10^(1/2)
Now, apply the logarithm:
Log₁₀ 10^(1/2)
Using the property of logarithms that states logₐ a^x = x:
Log₁₀ 10^(1/2) = 1/2
To find the average:
First 5 multiples of 11:
11, 22, 33, 44, 55
Add the multiples:
11 + 22 + 33 + 44 + 55 = 165
Divide by the number of multiples:
165 ÷ 5 = 33
a + b = 5
a - b = √17
Square both equations:
(a + b)² = 5²
a² + 2ab + b² = 25
(a - b)² = (√17)²
a² - 2ab + b² = 17
Subtract the second equation from the first:
4ab = 8
Divide by 4:
ab = 2
Dividing 3.12 by 2.6 gives:
3.12 ÷ 2.6 = 1.2.
The absolute value of a number represents its distance from zero on the number line, regardless of direction.
So, | -4 | = 4.
If √x = 7, then squaring both sides gives x = 7² = 49.
So, the value is 49.
To find the square root of 0.0676:
√0.0676 ≈ 0.26
A biquadratic polynomial has a degree of four, meaning the highest power of the variable (usually x) is four.
A biquadratic polynomial has the general form: ax⁴ + bx³ + cx² + dx + e, where a, b, c, d, and e are constants.
The angle θ can be found using tan(θ) = height / shadow length, i.e., tan(θ) = 3 / √3 = √3.
Since tan 60° = √3, the angle between the ground and the Sun is 60°.