To apply the properties of integer exponents and generate an equivalent expression with only positive exponents, we can use the property that a negative exponent on a number can be written as the reciprocal of the number with a positive exponent.
So, 222^-4 can be rewritten as 1/(222^4).
To solve this expression, we can evaluate 222^4.
222^4 = 222 * 222 * 222 * 222 = 2342568000
Therefore, 222^-4 = 1/2342568000.
The solution as a whole number is 1/2342568000.
Apply the Properties of Integer Exponents to generate equivalent expressions to 222−4 with only positive exponents, then solve the expression. Provide the solution as a whole number.(1 point)
222−4=
6 answers
Which of the following is an equivalent expression to 59⋅5−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses
154
Start Fraction 1 over 5 superscript 4 baseline end fraction
595−13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction
1625
Start Fraction 1 over 625 end fraction
54
Responses
154
Start Fraction 1 over 5 superscript 4 baseline end fraction
595−13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction
1625
Start Fraction 1 over 625 end fraction
54
To generate an equivalent expression with only positive exponents, we can use the property that a negative exponent on a number can be written as the reciprocal of the number with a positive exponent.
So, 59⋅5^-13 can be rewritten as 59/(5^13).
Therefore, the equivalent expression with only positive exponents is 59/(5^13), which is not one of the provided options.
So, 59⋅5^-13 can be rewritten as 59/(5^13).
Therefore, the equivalent expression with only positive exponents is 59/(5^13), which is not one of the provided options.
Which of the following is an equivalent expression to 150 ⋅ 7−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses
4372
Start Fraction 4 cubed over 7 squared end fraction
72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction
(−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction
172 ⋅ (−4)−3
Responses
4372
Start Fraction 4 cubed over 7 squared end fraction
72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction
(−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction
172 ⋅ (−4)−3
To generate an equivalent expression with only positive exponents, we can use the property that a negative exponent on a number can be written as the reciprocal of the number with a positive exponent.
So, 150 ⋅ 7^-2 (-4)^-3 can be rewritten as 150/(7^2 * (-4)^3).
Therefore, the equivalent expression with only positive exponents is 150/(7^2 * (-4)^3), which is not one of the provided options.
So, 150 ⋅ 7^-2 (-4)^-3 can be rewritten as 150/(7^2 * (-4)^3).
Therefore, the equivalent expression with only positive exponents is 150/(7^2 * (-4)^3), which is not one of the provided options.
Apply the Properties of Integer Exponents to generate equivalent expressions to 2^2/2^−4 with only positive exponents, then solve the expression. Provide the solution as a whole number.(1 point)
2^2/2^−4=
2^2/2^−4=