Which expression is equivalent to 16

Expression 6 is equal to 16.

Expression 2 is equal to 16.

Expression 3 is Equal to 16

Step-by-step explanation:

Allow me to explain exponent rules.

1. WRONG: 1^16; a.k.a. One to the Sixteenth Power:

What do we know about exponsnts? Well, the number of the exponent denotes how many times you're raising the coefficient BY ITSELF. For example squaring 2 (2^2) gives you 4, because are multiplying two 2's.

In THIS case, you should also do well to remember that 1 multiplied by ANY number IS that number. . .so, if we were to take 1^16th power, we're essentially multiplying 1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1. . . .which just equals 1.

2. CORRECT: 2^4; a.k.a. Two to the Fourth Power.

Using the method we know above. 2^4 = 2*2*2*2.

If it helps, just imagine you're squaring the number TWICE and multiplying those values together. 2^2 = 4, 2^2=4, 4*4= 16.

Or you can do it the classic way. 2*2=4*2=8*2=16.

Either way, it's correct.

3. CORRECT: 4^2; a.k.a. Four to the Second Power; a.k.a. Four Squared.

We just did this in the previous problem, remember? The last step was 4*4=16, right. Well, this is exactly what four squared means! Four times itself is 4*4, which equals 16.

4. WRONG: 8^2; a.k.a. Eight to the Second Power; a.k.a. eight squared.

Incorrect. Remember, you're multiplying the coefficient by ITSELF, and the number of times you do this is determined by the exponent. 8^2 = 8*8, which equals 64, not 16.

5. INCORRECT; 16^0; a.k.a. Sixteen raised to the zero-th power.

A rule you must remember is that ANYTHING raised to the 0th power is always equal to 1. 16^0=1, not 16.

6. CORRECT; 16^1; a.k.a. Sixteen to the first power

When you have Sixteen to the first power, you're essentially saying "I'm not doing anything to you." Sixteen to the power of one, which essentially means you're leaving it alone, is just 16.

The expressions that are equivalent to 16 will be expression 2, expression 3, and expression 6.

The value of expression 1 will be 1.

The value of expression 2 will be 2⁴ = 2 × 2 × 2 × 2 = 16.

The value of expression 3 will be  4² = 4 × 4 = 16

The value of expression 4 will be 8² = 8 × 8 = 64

The value of expression 5 will be 1

The value of expression 6 will be 16¹ = 16

Therefore, expressions that are equivalent to 16 will be expression 2, expression 3, and expression 6.

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