Prerequisites: Reviewing Numbers

Exponents Self Check

Now, you try. Complete the self-check activity by looking at the questions below, working them out, and then clicking on the question to review the solution. (The final answer should be expressed using positive exponents only.)

Simplify the following expression: $The fraction one over d to the power of twelve times the fraction of one over d raised to the power of negative ten times d squared times the fraction one over d raised to the power of 6$

$The fraction one over d to the power of twelve times the fraction of one over d raised to the power of negative ten times d squared times the fraction one over d raised to the power of 6 equals d raised to the power of negative twelve time d raised to the power of ten times d raised to the power of two times d raised to the power of negative six equals d raised to the quantity of negative twelve plus ten plus two plus negative six end quantity equals d raised to the power of negative six equals the fraction one over d raised to the power of six.$

Simplify the following expression:

$The quantity of negative one raised to the power of the quantity negative three times three equals the quantity of negative one raised to the negative nine power equals the negative fraction one over one to the power of nine equals negative one$

Simplify the following expression:

x to the power of the quantity negative two times three end quantity times the fifth power of negative two times x to the power of the quantity negative two times five end quantity, x to the negative six power times negative thirty two times x to the negative ten power equals, negative thirty two times x to the power of the quantity of negative six plus negative ten equals negative thirty two x to the negative sixteenth power equals the negative of thirty two divided by x to the sixteenth power

Simplify the following expression:

three to the power of the quantity four plus seven end quantity times negative three raised to the power of the quantity nine plus negative 8 equals, three to the power of eleven times negative three raised to the negative one power equals three raised to the eleventh power divided by negative three equals negative three raised to the tenth power

Simplify the following expression: $the fraction one over g to the fourth power times the fraction one over g to the third power$

$the fraction one over g to the fourth power times the fraction one over g to the third power equals the fraction one over g to the seventh power$