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What is the answer to 4³ (-2)⁴

2 Answers

1 vote

Answer:

1024

Explanation:

First, we need to evaluate 4³. This means we need to multiply 4 by itself three times. So, 4³ is equal to 4 × 4 × 4, which gives us 64.

Next, we need to evaluate (-2)⁴. This means we need to multiply -2 by itself four times. So, (-2)⁴ is equal to (-2) × (-2) × (-2) × (-2), which gives us 16.

Finally, we multiply the results of 4³ and (-2)⁴ together. So, 4³ (-2)⁴ is equal to 64 × 16, which gives us 1024.

User Eric Soyke
by
7.7k points
2 votes

Answer:

1,024

Explanation:

The top number represents an exponent. Exponents can also be shown using the carat symbol ^

Ex: 4^3 (-2)^4

Under PEMDAS, exponents are the second letter, where they take priority.

Any number raised to an even exponent will be positive, meaning (-2)^4 is equivalent to (2)^4

An exponent is the same as the number being multiplied by itself that number of times.

2^4 = 2 * 2 * 2 * 2 = 16

4^3 = 4 * 4 * 4 = 64

Since the 4^3 is next to the parenthesis, this means this is multiplied.

64 (16) = 1024

Unless a symbol failed to transfer via copypaste, this should be the answer.

Hope this helps!

User Florgeng
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7.3k points