Question & Answer

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 =

1 Answer

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Quizzma TeamApril 20, 2025

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