Rewrite the expression in the form 5^n5n5, start superscript, n, end superscript. (5^{-8})(5^{-10})=(5−8)(5−10)

Q: Differentiate Expressions

A: This question can be solved using the concept of differentiation of trigonometric functions.

Q: Rationalize the denominator.

A: Rationalize the denominator.          15-3

Q: Solve for x. (금)- = 7776 %3D

A: Consider the equation 16x=7776 Here, the objective is to solve the equation for x.

Q: Rationalize the denominator. (√5 + √3)/(√5 - √3)

A: Rationalize the denominator:                             (5+35-3)   Rationalizing the denominator…

Q: Rationalize the numerator. (√x - √y/x2 - y2)]

A: We multiply the numerator by its conjugate

Q: How to simplify -2[3-(7-10)3 ]-2

A:

Q: Assume straight-line appreciation. Suppose an antique clock is expected to be worth $325 after 3…

A:

Q: assume an average human heart beats 65 times per minute and an average human lifetime is 80years.…

A:

Q: Rationalize the numerator: [√(x + 3) - √x] / 3

A: According to the question, we have to rationlise the numerator x+3-x3. Rationalizing the numerator…

Q: The initial point of ā is (-2, 4), and its terminal point is (-5, –2). What is the value of llall?…

A: Given that, Initial point of vector a = ( - 2, 4) Terminal point = ( - 5, - 2) We have to find the…

Q: The exercise involve scientific notation. If your heart beats 80 times per minute and you live to be…

A: Heart beats 80 times per minute. You live to be 90 years old.

Q: Evaluate exponential expression.      2-4 + 4-1

A: 2-4 + 4-1 Recall a-n = 1/an

Q: log, 3450- log, 6- log, 23

A:

Q: How to simplify the radical of -75?

A:

Q: Explain how to find the least common denominator for denominators of x2 - 100 and x2 - 20x + 100.

A:

Q: The 11th term of an AP exceeds than 10th term by 7 find the common difference

A:

Q: Rationalize the numerator : (√x - √y) / (x2 - y2)

A: Given: x-yx2-y2 for rationalizing numerator, we multiply and divide given expression by x+y

Q: 4. The expression. 0013x-.0845x² +1.6083x+12.5 represents the gas consumption by the United States…

A: Consider the expression which represents the gas consumption by the United States in billions of…

Q: Rationalize the denominator of 3/(√ 7 - 2)

A: Our Aim is to rationalize the denominator of 37-2-(i)

Q: lin 7x -1

A: A) Given , limx→11x-1x-1we have to solve this limx→11x-1x-1we put x=1 then we have an indeterminate…

Q: An additional radio satellite dish is being added to an array of dishes. This newly added dish is 2…

A: Age of old dish = x+2 Age of new dish = x

Q: Find the 11th term if the AP -5, (-5/2) , 0 , (5/2)

A:

Q: Rationalize the denominator.

A: Given expression is 32-5. To rationalize the denominator. Solution: We rationalize the denominator…

Q: What is the ones digit in the number 2^2013? Start with smaller exponents to find a pattern

A:

Q: Express 9- y as the product of two binomial factors. 1. (3+ y)(3- y)

A:

Q: rationalize the denominator of the expression

A:

Q: Give 2 insights about zero and negative exponent

A: Exponent means the power to which a given number is raised. If a given number is raised to power p,…

Q: Express 1.35 trillion in scientific notation.

A:

Q: The 24th term of an AP is twice its 10th term .Show that its 72th term is 4 times its 15th term

A:

Q: 4sec θ-√3= √3 + 7sec θ;(-∞, ∞)

A:

Q: To rationalize the denominator of 45 what value should the numerator and denominator be multiplied…

A: We can answer the question as below.

Q: Rationalize the denominator and simplify. -5 5-2,/3

A:

Q: Describe how to transform into an expression with a rational exponent.

A: Given query is to transform radical expression to fractional exponent.

Q: Express x8 - 9x9 + 2x5 + 3x -1 in big-O notation.

A: The given polynomial is: x8-9x9+2x5+3x-1 Let, T=-9x9+x8+2x5+3x-1

Q: Express (2.2 × 106)-1/2 in scientific notation.

A: Given that2.2×106-12simplify:2.2×106-122.2-12×106-1212.2×10-3

Q: Rationalize the numerator : [√(x + 7) - √x] / 7

A: The given expression in fraction form is: [√(x + 7) - √x] 7

Q: 2. Suppose an investment doubles in value every 3 years. If 5 thousand dollars is invested, write an…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: Rationalize the numerator.

A: The given expression is 1-53

Q: A fraction becomes (4/5) if 1 is added to both the numerator and denominator . if how ever, 5 is…

A:

Q: Explain how to divide radical expressions with the same index.

A: Let two radical expression with same index is an and bn

Q: A plane flies 50kmnin 15 minutes. How long will it take to fly 300km

A:

Q: 3+5 3-5

A: To rationalize the denominator

Q: rationalize the numerator of the expression

A: Given expression

Q: 2. (81-x')

A: Consider the provided integral,∫x381-x22dx apply the trigonometric substitution,x=9sinθ then…

Q: If your heart beats 80 times per minute and you live to be90 years old, estimate the number of times…

A: Given: Number of heart beats in a minute is 80. To find: The number of times heart beats during a…

Q: Express x-1 + y-3 as a single fraction involving positive exponents.

A: Identity to be used a-b = 1ab

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.