Question Find the value of $2^{6}$ .

Studdy Solution

STEP 1

Assumptions
1. We are asked to calculate the value of $2^{6}$ .
2. The base is 2 and the exponent is 6.

STEP 2

Understand the meaning of the exponent. The expression $2^{6}$ means that the number 2 is multiplied by itself 6 times.

STEP 3

Write out the full multiplication expression for $2^{6}$ .
$2^{6} = 2 \times 2 \times 2 \times 2 \times 2 \times 2$

STEP 4

Calculate the value step by step. Start by multiplying the first two numbers.
$2 \times 2 = 4$

STEP 5

Multiply the result by the next number.
$4 \times 2 = 8$

STEP 6

Continue multiplying by the next number.
$8 \times 2 = 16$

STEP 7

Continue multiplying by the next number.
$16 \times 2 = 32$

STEP 8

Multiply the result by the final number.
$32 \times 2 = 64$

STEP 9

Combine all the steps to find the final result.
$2^{6} = 64$
$2^{6}$ equals 64.

Was this helpful?

Question Find the value of $2^{6}$ .

Studdy Solution

STEP 1

Assumptions
1. We are asked to calculate the value of $2^{6}$ .
2. The base is 2 and the exponent is 6.

STEP 2

Understand the meaning of the exponent. The expression $2^{6}$ means that the number 2 is multiplied by itself 6 times.

STEP 3

Write out the full multiplication expression for $2^{6}$ .
$2^{6} = 2 \times 2 \times 2 \times 2 \times 2 \times 2$

STEP 4

Calculate the value step by step. Start by multiplying the first two numbers.
$2 \times 2 = 4$

STEP 5

Multiply the result by the next number.
$4 \times 2 = 8$

STEP 6

Continue multiplying by the next number.
$8 \times 2 = 16$

STEP 7

Continue multiplying by the next number.
$16 \times 2 = 32$

STEP 8

Multiply the result by the final number.
$32 \times 2 = 64$

STEP 9

Combine all the steps to find the final result.
$2^{6} = 64$
$2^{6}$ equals 64.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question Find the value of 262^{6}26.

Studdy Solution

STEP 1

Assumptions1. We are asked to calculate the value of 262^{6}26.2. The base is 2 and the exponent is 6.

STEP 2

Understand the meaning of the exponent. The expression 262^{6}26 means that the number 2 is multiplied by itself 6 times.

STEP 3

Write out the full multiplication expression for 262^{6}26.26=2×2×2×2×2×22^{6} = 2 \times 2 \times 2 \times 2 \times 2 \times 226=2×2×2×2×2×2

STEP 4

Calculate the value step by step. Start by multiplying the first two numbers.2×2=42 \times 2 = 42×2=4

STEP 5

Multiply the result by the next number.4×2=84 \times 2 = 84×2=8

STEP 6

Continue multiplying by the next number.8×2=168 \times 2 = 168×2=16

STEP 7

Continue multiplying by the next number.16×2=3216 \times 2 = 3216×2=32

STEP 8

Multiply the result by the final number.32×2=6432 \times 2 = 6432×2=64

STEP 9

Combine all the steps to find the final result.26=642^{6} = 6426=64262^{6}26 equals 64.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question Find the value of $2^{6}$ .

Assumptions
1. We are asked to calculate the value of $2^{6}$ .
2. The base is 2 and the exponent is 6.

Understand the meaning of the exponent. The expression $2^{6}$ means that the number 2 is multiplied by itself 6 times.

Write out the full multiplication expression for $2^{6}$ .
$2^{6} = 2 \times 2 \times 2 \times 2 \times 2 \times 2$

Calculate the value step by step. Start by multiplying the first two numbers.
$2 \times 2 = 4$

Multiply the result by the next number.
$4 \times 2 = 8$

Continue multiplying by the next number.
$8 \times 2 = 16$

Continue multiplying by the next number.
$16 \times 2 = 32$

Multiply the result by the final number.
$32 \times 2 = 64$

Combine all the steps to find the final result.
$2^{6} = 64$
$2^{6}$ equals 64.