Fill in the blanks to make the statement true.(-1/4)3 × (-1/4) = (

1.	Fill in the blanks to make the statement true.(-1/4)3 × (-1/4) = (-1/4)11
Answer» (-1/4)³ × (-1/4)⁸ = (-1/4)¹¹ We know that, For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, a^m × aⁿ = a^m+n Let us assume missing power be y, Then, (-1/4)³ × (-1/4)^y = (-1/4)¹¹ (-1/4)^y = (-1/4)¹¹/(-1/4)³ (-1/4)^y= (-1/4)^{11 – 3} (-1/4)^y= (-1/4)⁸

Fill in the blanks to make the statement true.(-1/4)3 × (-1/4) = (-1/4)11

Answer»

(-1/4)³ × (-1/4)⁸ = (-1/4)¹¹

We know that,

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^m+n

Let us assume missing power be y,

Then, (-1/4)³ × (-1/4)^y = (-1/4)¹¹

(-1/4)^y = (-1/4)¹¹/(-1/4)³

(-1/4)^y= (-1/4)^{11 – 3}

(-1/4)^y= (-1/4)⁸