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love history [14]
2 years ago
8

Drag values to complete each equation.

Mathematics
1 answer:
Alexus [3.1K]2 years ago
5 0

Answer:

1 and 8^{-1}

Step-by-step explanation:

using the rules of exponents

• (a^m)^{n} = a^{mn}

• a^{m} × a^{n} = a^{(m+n)}

•  \frac{a^{m} }{a^{n} } = a^{(m-n)}

given (8^3)^{4} × 8^{-9} / 8^{3}

= (8^{12} × 8^{-9} ) / 8^{3}

= \frac{8^{12+(-9)} }{8^{3} } = \frac{8^{3} }{8^{3} } = 1

given (8^{3} × 8^{4}) / (8^2)^{4}

= \frac{8^{(3+4)} }{8^{8} }

= \frac{8^{7} }{8^{8} }

= 8^{(7-8)} = 8^{-1}


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