exponent

6 times j squared minus twice j squared j squared means we raise the variable j to the power of 2: j^2 6 times j squared means we multiply j^2 by 6: 6j^2 Twice j squared means we multiply j^2 by 2: 2j^2 The word minus means we subtract 2j^2 from 6j^2 6j^2 - 2j^2 So if you must simplify, we...

8 to the power of x over 2 to the power of y Step 1: 8 to the power of x means we take 8 and raise it to an exponent of x: 8^x Step 2: 2 to the power of y means we take 2 and raise it to an exponent of y: 2^y Step 3: The word over means a quotient, also known as divided by, so we have: 8^x/2^y

11 to the power of 6 multiply 11 to the power of 3 Take this in parts. Step 1: 11 to the power of 6 means we raise 11 to the 6th power using exponents: 11^6 Step 2: 11 to the power of 3 means we raise 11 to the 3rd power using exponents: 11^3 Step 3: Multiply each term together: 11^6 * 11^3...

A square of an integer is the integer. Find the integer. Let the integer be n. The square means we raise n to the power of 2, so we have: n^2 = n Subtract n from each side: n^2 - n = n - n n^2 - n = 0 Factoring this, we get: n(n - 1) = 0 So n is either 0 or 1.

Sixty-six to the x th power We raise 66 to the x power: 66^x

What is the ratio 18b^2 to 45b written in simplest for Using our monomial calculator, we see that 18b^2/45b is 2b/5

2 times b squared minus 6 b squared means we raise b to the 2nd power: b^2 2 times b squared 2b^2 Minus 6: 2b^2 - 6

rewrite without an exponent :4^-2 Since the exponent is negative, we have: 4^-2 = 1 / 4^2 4^-2 = 1 / 16

Write p times p times p times p times p times p and n index form We have p times itself 6 times, so the index form is: p^6

z is jointly proportional to the square of x and the cube of y The square of x means we raise x to the power of 2: x^2 The cube of y means we raise y to the power of 3: y^3 The phrase jointly proportional means we have a constant k such that: z = kx^2y^3

Multiply c by five and square the answer Multiply c by five: 5c Square the answer means we raise 5c to the power of 2: (5c)^2 This can also be written as 25c^2

8 to the power of 8 divided by 8 8 to the power of 8 8^8 Divided by 8 8^8/8

the quotient of triple m and n squared Triple m means we multiply m by 3: 3m n squared means we raise n to the 2nd power: n^2 The quotient is formed as follows: 3m/n^2

raise 2 to the 10th power and divide k by the result Raise 2 to the 10th power: 2^10 Divide k by the result: k / 2^10

1 over 14 cubed 14 cubed means we raise 14 to the power of 3: 14^3 1 over 14 cubed is written as: 1/14^3 To simplify this, we evaluate 14^3 = 2744 So we have: 1/2744

-3x to the negative one power Raising to a negative power means taking 1 over the same expression to the positive power" (-3x)^-1 = 1/-3x = -1/3x

A quiz has 5 questions with 4 answer choices each find the number of possible outcomes We have 4 * 4 * 4 * 4 * 4 = 1024 outcomes

the sum of x squared plus y squared x squared means we raise x to the power of 2: x^2 y squared means we raise y to the power of 2: y^2 The sum means we add both terms together: x^2 + y^2

The sum of 3w and 5 cubed The sum of 3w and 5: 3w + 5 The word cubed means we raise 3w + 5 to the power 3: (3w + 5)^3

mcubemultipliedbyntothefourthpower m cubed means we raise m to the 3rd power: m^3 n to the fourth power: n^4 Multiply both expressions together: m^3n^4