Product rule for exponents: find the exponent
Same base: add the exponents when multiplying, subtract when dividing, multiply when raising a power to a power.
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Write 7⁶ × 7⁶ as a single power of 7. What is the exponent?
Answer: 12
Write 10⁵ × 10² as a single power of 10. What is the exponent?
Answer: 7
Write 7⁶ × 7² as a single power of 7. What is the exponent?
Answer: 8
Tip: Same base: add the exponents when multiplying, subtract when dividing, multiply when raising a power to a power.
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