Products, Quotients, and Powers of Powers Quick Check

- 1. Mariam wants to simplify5
^{3}(5^{4}). What must she do?
A) Divide the bases and add the exponents. B) Keep the base the same and add the exponents. C) Divide the bases and subtract the exponents. D) Keep the base the same and subtract the exponents. - 2. Write the Expanded Form- don't write multiplication symbols or parentheses (x
^{3})(x^{5})
- 3. Simplify x
^{2}x^{5}x use caret ^ for exponent and*no spaces*
- 4. Simplify (3a
^{2}b^{3})(-2b^{6})
A) -6ab ^{3}B) -6a ^{2}b^{9}C) 6a ^{2}/b^{9}D) 1a ^{2}b^{9}- 5. In order to find a power of a power, you can...
A) Keep the base the same and multiply the exponents B) Keep the base the same and subtract the exponents C) Keep the base the same and divide the exponents D) Keep the base the same and add the exponents - 6. Mariam wants to simplify 5
^{5}/5^{4.}What must she do?
A) Divide the bases and add the exponents B) Keep the base the same and subtract the exponents C) Divide the bases and subtract the exponents. D) Keep the base the same and add the exponents. - 7. Simplify c
^{8}/c^{4}
A) c ^{12}B) c ^{32}C) c ^{4}D) c ^{2}- 8. Simplify (10a
^{3}b^{5})/(5ab^{2})
A) 2a ^{3}b^{3}B) 5a ^{3}b^{3}C) 5a ^{2}b^{3}D) 2a ^{2}b^{3}- 9. Simplify (b
^{3})^{4}
A) b ^{81}B) b ^{3/4}C) b ^{12}D) b ^{7}- 10. Simplify (3x
^{2}y^{5})^{2}
A) 6x ^{4}y^{10}B) 3x ^{4}y^{10}C) 3x ^{4}y^{7}D) 9x ^{4}y^{10} |

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