Vocabulary Review: Identify the base and exponent in the expression.
43
17 answers
The base in the expression "43" is 4 and the exponent is 3.
Vocabulary Review: Write an equivalent expression using an exponent.
35×35×35
35×35×35
35^3
Type the answer that would make this true
135×....... =1312
(1 point)
135×....... =1312
(1 point)
If we want to find the value that makes the expression 135 × ... equal to 1312, we need to divide 1312 by 135:
1312 ÷ 135 ≈ 9.7
So, the answer would be 9.7.
1312 ÷ 135 ≈ 9.7
So, the answer would be 9.7.
Solve for the value of x, that makes this a true statement:
10610X=102
(1 point)
Responses
6
6
8
8
4
4
2
10610X=102
(1 point)
Responses
6
6
8
8
4
4
2
To solve for the value of x in the equation 10610x = 102, we need to isolate the variable x.
Divide both sides of the equation by 10610:
10610x / 10610 = 102 / 10610
x = 102 / 10610
Simplifying the right side of the equation gives:
x ≈ 0.00962
So, the answer is approximately 0.00962.
Divide both sides of the equation by 10610:
10610x / 10610 = 102 / 10610
x = 102 / 10610
Simplifying the right side of the equation gives:
x ≈ 0.00962
So, the answer is approximately 0.00962.
witch of the numbers is the answer 6 8 4 or 2
The answer is 2.
Simplify
2−5
(1 point)
Responses
-32
-32
−132
negative 1 over 32
132
1 over 32
32
2−5
(1 point)
Responses
-32
-32
−132
negative 1 over 32
132
1 over 32
32
To simplify 2-5, we subtract the two numbers:
2 - 5 = -3
So, the simplified answer is -3.
2 - 5 = -3
So, the simplified answer is -3.
Simplify the following expression, answers should have only positive exponents: m−9k3/h0 (1 point)
To simplify the expression m^-9k^3/h^0, we need to apply the rules of exponents.
Any number raised to the power of 0 is equal to 1. Therefore, h^0 = 1.
Also, when a variable with a negative exponent appears in the denominator, it can be moved to the numerator by changing the sign of the exponent. Therefore, m^-9 = 1/m^9.
So, simplifying the expression further, we have:
m^-9k^3/h^0 = (1/m^9) * k^3 * 1
= k^3/m^9
The simplified expression is k^3/m^9.
Any number raised to the power of 0 is equal to 1. Therefore, h^0 = 1.
Also, when a variable with a negative exponent appears in the denominator, it can be moved to the numerator by changing the sign of the exponent. Therefore, m^-9 = 1/m^9.
So, simplifying the expression further, we have:
m^-9k^3/h^0 = (1/m^9) * k^3 * 1
= k^3/m^9
The simplified expression is k^3/m^9.
Simplify the following expression, answers should have only positive exponents:
(4y4x7)3
(1 point)
Responses
(12y12x21)
open paren the fraction with numerator 12 y to the 12th power and denominator x to the 21th power close paren
(64y12x21)
open paren the fraction with numerator 64 y to the 12th power and denominator x to the 21th power close paren
(64y7x10)
open paren the fraction with numerator 64 y to the 7th power and denominator x to the 10th power close paren
(12y7x10)
(4y4x7)3
(1 point)
Responses
(12y12x21)
open paren the fraction with numerator 12 y to the 12th power and denominator x to the 21th power close paren
(64y12x21)
open paren the fraction with numerator 64 y to the 12th power and denominator x to the 21th power close paren
(64y7x10)
open paren the fraction with numerator 64 y to the 7th power and denominator x to the 10th power close paren
(12y7x10)
To simplify the expression (4y^4x^7)^3, we have to raise each term within the parentheses to the power of 3.
Simplifying the exponents, we have:
(4^3)(y^12)(x^21)
= 64y^12x^21
So, the simplified expression is (64y^12x^21).
Simplifying the exponents, we have:
(4^3)(y^12)(x^21)
= 64y^12x^21
So, the simplified expression is (64y^12x^21).
Anything raised to the power of zero is ALWAYS zero.(1 point)
Responses
True
True
False
Responses
True
True
False
False
1 answer