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Naddika [18.5K]
3 years ago
10

Which equations are equivalent to the expression below ? Check all that apply

Mathematics
1 answer:
noname [10]3 years ago
5 0

The given expression is 4^{3} \times 4^{x}

By using the law of exponent which states that a^{m} \times a^{n} = a^{m+n}

4^{3} \times 4^{x} = 4^{3+x}

We need to find the equivalent expression for the given expression from the given expressions.

1. 4^{3} \times 4^{x} = 4^{3+x}

This expression is equivalent to the given expression.

2. (4 \times x)^{3} = (4x)^{3} = 64x^{3}

This expression is not equivalent to the given expression.

3. 4^{3-x}

This expression is not equivalent to the given expression.

4. 64 \times 4^{x} = (4)^{3} \times 4^{x}=4^{3+x}

This expression is equivalent to the given expression.

5. 4^{3x}

This expression is not equivalent to the given expression.

6. 16^{3x}=(4^{2})^{3x}=4^{6x}

This expression is not equivalent to the given expression.

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