Drag values to complete each equation.
8
0
8⁻¹
1
(8³)⁴ · 8⁻⁹ / 8³ =
8³ · 8⁴ / (8²)⁴ =
Drag values to complete each equation. 8 0 8⁻¹ 1 (8³)⁴ · 8⁻⁹ / 8³ = 8³ · 8⁴ / (8²)⁴ =
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Let’s solve each equation step by step.
1. For the first equation:
((8^3)^4 cdot 8^{-9} / 8^3)
Using the laws of exponents:
((a^m)^n = a^{m cdot n})
So, ((8^3)^4 = 8^{3 cdot 4} = 8^{12}).
Now we rewrite the equation:
[8^{12} cdot 8^{-9} / 8^3]
When multiplying exponents with the same base, we add the exponents:
[8^{12 + (-9)} = 8^{3}]
Now divide by (8^3):
[8^3 / 8^3 = 8^{3 – 3} = 8^0 = 1]
So, the first equation simplifies to 1.
2. For the second equation:
(8^3 cdot 8^4 / (8^2)^4)
Again, using the exponent laws:
((8^2)^4 = 8^{2 cdot 4} = 8^8).
Now rewrite the equation:
[8^3 cdot