Question

Please answer this question

Answer 1

Step-by-step explanation:

• The prime factors of 432 are 2 and 3. The prime factorization of 432 is 24 × 33.

• 2²×2⁵

4×32

4×32136

Answer 2

Answer:

1. 432= 2×2×2×2×3×3×3

$432 = {2}^{4} \times {3}^{3}$

2. We know that when bases are same then powers are added so

${2}^{2} \times {2}^{5}$

${2}^{2 + 5}$

${2}^{7} = 128$

3. ${( - 4)}^{100} \times {( - 4)}^{20}$

We know,

Any negative no. raise to the power even no. is equal to same power of its absolute value, i. e., ( - n) ^even no. = (n)^even no.

So,

${4}^{100} \times {4}^{20}$

${4}^{100 + 20}$

${4}^{120}$