Question

Simplify and write in
exponential form:

(vi) (-4)^100 × (-4)^20​

Answer 1

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

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,

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

Also, If Exponents with same bases are mutiplied then their powers are added.

${4}^{100 + 20}$

${4}^{120}$

Answer 2

Answer:

(-4^100)×(-4^20)=(-4^120)

When the base is same so the power will be added.