To apply the properties of integer exponents, we can add the exponents when multiplying powers with the same base.
3^7⋅3^−9 = 3^(7+(-9)) = 3^(-2)
To convert the expression to have only positive exponents, we can use the property a^(-n) = 1/a^n.
3^(-2) = 1/3^2 = 1/9
Therefore, the simplified equivalent expression is 1/9.
Apply the Properties of Integer Exponents to generate equivalent expressions to 3^7⋅3^−9 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
3^7⋅3^−9=
3 answers
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=
To apply the properties of integer exponents, we can subtract the exponents when dividing powers with the same base.
2^2/2^(-4) = 2^(2-(-4)) = 2^(2+4) = 2^6
Therefore, the simplified expression with only positive exponents is 2^6.
Solving 2^6, we know that 2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64.
Therefore, the solution as a whole number is 64.
2^2/2^(-4) = 2^(2-(-4)) = 2^(2+4) = 2^6
Therefore, the simplified expression with only positive exponents is 2^6.
Solving 2^6, we know that 2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64.
Therefore, the solution as a whole number is 64.