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

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.
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
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.
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
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.
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=